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100210213112232 = 23313148765448619
BaseRepresentation
bin10110110010010000000010…
…001001111100100110101000
3111010211000002001101001221010
4112302100002021330212220
5101113321004024042412
6553043534131143520
730051643333126536
oct2662200211744650
9433730061331833
10100210213112232
1129a25a049107a3
12b2a54b1744ba0
1343bba2334aba2
141aa62b348d156
15b8ba6e69b33c
hex5b240227c9a8

100210213112232 has 64 divisors (see below), whose sum is σ = 252956298355200. Its totient is φ = 33080349481920.

The previous prime is 100210213112227. The next prime is 100210213112249. The reversal of 100210213112232 is 232211312012001.

It is a junction number, because it is equal to n+sod(n) for n = 100210213112199 and 100210213112208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31193182 + ... + 34255437.

It is an arithmetic number, because the mean of its divisors is an integer number (3952442161800).

Almost surely, 2100210213112232 is an apocalyptic number.

100210213112232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100210213112232 is an abundant number, since it is smaller than the sum of its proper divisors (152746085242968).

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

100210213112232 is a wasteful number, since it uses less digits than its factorization.

100210213112232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65449246 (or 65449242 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 100210213112232 its reverse (232211312012001), we get a palindrome (332421525124233).

The spelling of 100210213112232 in words is "one hundred trillion, two hundred ten billion, two hundred thirteen million, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 131 262 393 487 524 786 974 1048 1461 1572 1948 2922 3144 3896 5844 11688 63797 127594 191391 255188 382782 510376 765564 1531128 65448619 130897238 196345857 261794476 392691714 523588952 785383428 1570766856 8573769089 17147538178 25721307267 31873477453 34295076356 51442614534 63746954906 68590152712 95620432359 102885229068 127493909812 191240864718 205770458136 254987819624 382481729436 764963458872 4175425546343 8350851092686 12526276639029 16701702185372 25052553278058 33403404370744 50105106556116 100210213112232