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20103132003312 = 2437114993935161
BaseRepresentation
bin1001001001000101000000…
…00010101011101111110000
32122011211200211112002202010
410210202200002223233300
510113332203243101222
6110431130142522520
74143255231416241
oct444424002535760
978154624462663
1020103132003312
116450765a23626
122308156296440
13b2a942945277
144d6dd5246cc8
1524cdde03b80c
hex1248a00abbf0

20103132003312 has 80 divisors (see below), whose sum is σ = 52699689504000. Its totient is φ = 6602254041600.

The previous prime is 20103132003307. The next prime is 20103132003319. The reversal of 20103132003312 is 21330023130102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20103132003319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3141012 + ... + 7076172.

It is an arithmetic number, because the mean of its divisors is an integer number (658746118800).

Almost surely, 220103132003312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20103132003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26349844752000).

20103132003312 is an abundant number, since it is smaller than the sum of its proper divisors (32596557500688).

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

20103132003312 is a wasteful number, since it uses less digits than its factorization.

20103132003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936742 (or 3936736 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 20103132003312 its reverse (21330023130102), we get a palindrome (41433155133414).

The spelling of 20103132003312 in words is "twenty trillion, one hundred three billion, one hundred thirty-two million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1499 1704 2998 3408 4497 5996 8994 11992 17988 23984 35976 71952 106429 212858 319287 425716 638574 851432 1277148 1702864 2554296 3935161 5108592 7870322 11805483 15740644 23610966 31481288 47221932 62962576 94443864 188887728 279396431 558792862 838189293 1117585724 1676378586 2235171448 3352757172 4470342896 5898806339 6705514344 11797612678 13411028688 17696419017 23595225356 35392838034 47190450712 70785676068 94380901424 141571352136 283142704272 418815250069 837630500138 1256445750207 1675261000276 2512891500414 3350522000552 5025783000828 6701044001104 10051566001656 20103132003312