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212110022120220 = 223257168341287397
BaseRepresentation
bin110000001110100110110110…
…100001011001001100011100
31000211000112001010201221222100
4300032212312201121030130
5210300202311130321340
62031041555435245100
762451305040040110
oct6016466641311434
91024015033657870
10212110022120220
116164839a876534
121b9584152a9790
139147b73921b43
143a54273703740
15197c705ec6830
hexc0e9b685931c

212110022120220 has 72 divisors (see below), whose sum is σ = 735314743354464. Its totient is φ = 48482290770048.

The previous prime is 212110022120207. The next prime is 212110022120261. The reversal of 212110022120220 is 22021220011212.

It is a happy number.

212110022120220 is a `hidden beast` number, since 2 + 121 + 100 + 221 + 2 + 0 + 220 = 666.

It is a super-2 number, since 2×2121100221202202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212110022120193 and 212110022120202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84170642439 + ... + 84170644958.

It is an arithmetic number, because the mean of its divisors is an integer number (10212704768812).

Almost surely, 2212110022120220 is an apocalyptic number.

212110022120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110022120220 is an abundant number, since it is smaller than the sum of its proper divisors (523204721234244).

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

212110022120220 is a wasteful number, since it uses less digits than its factorization.

212110022120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168341287419 (or 168341287414 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212110022120220 its reverse (22021220011212), we get a palindrome (234131242131432).

The spelling of 212110022120220 in words is "two hundred twelve trillion, one hundred ten billion, twenty-two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 168341287397 336682574794 505023862191 673365149588 841706436985 1010047724382 1178389011779 1515071586573 1683412873970 2020095448764 2356778023558 2525119310955 3030143173146 3366825747940 3535167035337 4713556047116 5050238621910 5891945058895 6060286346292 7070334070674 7575357932865 10100477243820 10605501106011 11783890117790 14140668141348 15150715865730 17675835176685 21211002212022 23567780235580 30301431731460 35351670353370 42422004424044 53027505530055 70703340706740 106055011060110 212110022120220