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221121320432 = 24177339728051
BaseRepresentation
bin1100110111101111011…
…0111001010111110000
3210010202022202221012112
43031323312321113300
512110324024223212
6245325353144452
721655410132455
oct3157366712760
9703668687175
10221121320432
1185860247921
1236a310bb128
1317b0c100c0c
14a9b929582c
155b42888422
hex337bdb95f0

221121320432 has 80 divisors (see below), whose sum is σ = 461012627232. Its totient is φ = 102369484800.

The previous prime is 221121320423. The next prime is 221121320437. The reversal of 221121320432 is 234023121122.

It is a junction number, because it is equal to n+sod(n) for n = 221121320398 and 221121320407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221121320437) 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, 7868807 + ... + 7896857.

Almost surely, 2221121320432 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 221121320432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230506313616).

221121320432 is an abundant number, since it is smaller than the sum of its proper divisors (239891306800).

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

221121320432 is a wasteful number, since it uses less digits than its factorization.

221121320432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28546 (or 28540 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 221121320432 its reverse (234023121122), we get a palindrome (455144441554).

The spelling of 221121320432 in words is "two hundred twenty-one billion, one hundred twenty-one million, three hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 73 136 146 272 292 397 584 794 1168 1241 1588 2482 3176 4964 6352 6749 9928 13498 19856 26996 28051 28981 53992 56102 57962 107984 112204 115924 224408 231848 448816 463696 476867 492677 953734 985354 1907468 1970708 2047723 3814936 3941416 4095446 7629872 7882832 8190892 11136247 16381784 22272494 32763568 34811291 44544988 69622582 89089976 139245164 178179952 189316199 278490328 378632398 556980656 757264796 812946031 1514529592 1625892062 3029059184 3251784124 6503568248 13007136496 13820082527 27640165054 55280330108 110560660216 221121320432