Search a number
-
+
20121332100132 = 22317227434510929
BaseRepresentation
bin1001001001100110111001…
…10110100010110000100100
32122020120200020012211000010
410210303130312202300210
510114131442004201012
6110443340134050220
74144501236611064
oct444633466426044
978216606184003
1020121332100132
11645845545475a
12230b7954a9970
13b2c583464c23
144d7c4047d3a4
1524d606c6cc3c
hex124cdcda2c24

20121332100132 has 48 divisors (see below), whose sum is σ = 49930519988160. Its totient is φ = 6284766062592.

The previous prime is 20121332100109. The next prime is 20121332100169. The reversal of 20121332100132 is 23100123312102.

It is a junction number, because it is equal to n+sod(n) for n = 20121332100099 and 20121332100108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217209157 + ... + 217301772.

It is an arithmetic number, because the mean of its divisors is an integer number (1040219166420).

Almost surely, 220121332100132 is an apocalyptic number.

It is an amenable number.

20121332100132 is an abundant number, since it is smaller than the sum of its proper divisors (29809187888028).

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

20121332100132 is a wasteful number, since it uses less digits than its factorization.

20121332100132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434511180 (or 434511178 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 20121332100132 its reverse (23100123312102), we get a palindrome (43221455412234).

The spelling of 20121332100132 in words is "twenty trillion, one hundred twenty-one billion, three hundred thirty-two million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 227 454 681 908 1362 2724 3859 7718 11577 15436 23154 46308 434510929 869021858 1303532787 1738043716 2607065574 5214131148 7386685793 14773371586 22160057379 29546743172 44320114758 88640229516 98633980883 197267961766 295901942649 394535923532 591803885298 1183607770596 1676777675011 3353555350022 5030333025033 6707110700044 10060666050066 20121332100132