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10211001312 = 253176256741
BaseRepresentation
bin10011000001001111…
…11000001111100000
3222100121210121111210
421200213320033200
5131403004020222
64405121110120
7511016036061
oct114047701740
928317717453
1010211001312
11436a931466
121b8b788340
13c69627015
146cc1aa568
153eb68bd0c
hex2609f83e0

10211001312 has 48 divisors (see below), whose sum is σ = 28380581712. Its totient is φ = 3203450880.

The previous prime is 10211001301. The next prime is 10211001313. The reversal of 10211001312 is 21310011201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211001313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3126739 + ... + 3130002.

It is an arithmetic number, because the mean of its divisors is an integer number (591262119).

Almost surely, 210211001312 is an apocalyptic number.

10211001312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211001312 is an abundant number, since it is smaller than the sum of its proper divisors (18169580400).

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

10211001312 is a wasteful number, since it uses less digits than its factorization.

10211001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256771 (or 6256763 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10211001312 its reverse (21310011201), we get a palindrome (31521012513).

The spelling of 10211001312 in words is "ten billion, two hundred eleven million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 6256741 12513482 18770223 25026964 37540446 50053928 75080892 100107856 106364597 150161784 200215712 212729194 300323568 319093791 425458388 600647136 638187582 850916776 1276375164 1701833552 2552750328 3403667104 5105500656 10211001312