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10211211032 = 23114322312101
BaseRepresentation
bin10011000001010001…
…01011011100011000
3222100122012021012012
421200220223130120
5131403032223112
64405125405052
7511020601361
oct114050533430
928318167165
1010211211032
11436aa64a90
121b8b869788
13c6969b609
146cc222b68
153eb6ce022
hex260a2b718

10211211032 has 64 divisors (see below), whose sum is σ = 21469916160. Its totient is φ = 4512816000.

The previous prime is 10211211029. The next prime is 10211211067. The reversal of 10211211032 is 23011211201.

It is a junction number, because it is equal to n+sod(n) for n = 10211210998 and 10211211016.

It is a congruent number.

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, 837782 + ... + 849882.

It is an arithmetic number, because the mean of its divisors is an integer number (335467440).

Almost surely, 210211211032 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 10211211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10734958080).

10211211032 is an abundant number, since it is smaller than the sum of its proper divisors (11258705128).

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

10211211032 is a wasteful number, since it uses less digits than its factorization.

10211211032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12384 (or 12380 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10211211032 its reverse (23011211201), we get a palindrome (33222422233).

The spelling of 10211211032 in words is "ten billion, two hundred eleven million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 223 344 446 473 892 946 1784 1892 2453 3784 4906 9589 9812 12101 19178 19624 24202 38356 48404 76712 96808 105479 133111 210958 266222 421916 520343 532444 843832 1040686 1064888 2081372 2698523 4162744 5397046 5723773 10794092 11447546 21588184 22895092 29683753 45790184 59367506 116036489 118735012 232072978 237470024 464145956 928291912 1276401379 2552802758 5105605516 10211211032