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201101212022100 = 2235213383134632933
BaseRepresentation
bin101101101110011010000110…
…010011100111010101010100
3222101001002101020022221001120
4231232122012103213111110
5202324320240234201400
61551412342120523540
760234040335131265
oct5556320623472524
9871032336287046
10201101212022100
11590935aa5414a5
121a67a9190205b0
1388299bc1aa6a0
1437934ca06a96c
15183b186152ca0
hexb6e6864e7554

201101212022100 has 144 divisors (see below), whose sum is σ = 628246814963712. Its totient is φ = 49372588823040.

The previous prime is 201101212022021. The next prime is 201101212022119. The reversal of 201101212022100 is 1220212101102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201101212022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65822767 + ... + 68810166.

Almost surely, 2201101212022100 is an apocalyptic number.

201101212022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101212022100 is an abundant number, since it is smaller than the sum of its proper divisors (427145602941612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201101212022100 is a wasteful number, since it uses less digits than its factorization.

201101212022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134633346 (or 134633339 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201101212022100 its reverse (1220212101102), we get a palindrome (202321424123202).

The spelling of 201101212022100 in words is "two hundred one trillion, one hundred one billion, two hundred twelve million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 383 390 650 766 780 975 1149 1300 1532 1915 1950 2298 3830 3900 4596 4979 5745 7660 9575 9958 11490 14937 19150 19916 22980 24895 28725 29874 38300 49790 57450 59748 74685 99580 114900 124475 149370 248950 298740 373425 497900 746850 1493700 134632933 269265866 403898799 538531732 673164665 807797598 1346329330 1615595196 1750228129 2019493995 2692658660 3365823325 3500456258 4038987990 5250684387 6731646650 7000912516 8077975980 8751140645 10097469975 10501368774 13463293300 17502281290 20194939950 21002737548 26253421935 35004562580 40389879900 43755703225 51564413339 52506843870 87511406450 103128826678 105013687740 131267109675 154693240017 175022812900 206257653356 257822066695 262534219350 309386480034 515644133390 525068438700 618772960068 670337373407 773466200085 1031288266780 1289110333475 1340674746814 1546932400170 2011012120221 2578220666950 2681349493628 3093864800340 3351686867035 3867331000425 4022024240442 5156441333900 6703373734070 7734662000850 8044048480884 10055060601105 13406747468140 15469324001700 16758434335175 20110121202210 33516868670350 40220242404420 50275303005525 67033737340700 100550606011050 201101212022100