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10001212002 = 23231173313331
BaseRepresentation
bin10010101000001111…
…00110001001100010
3221211000001012200100
421110013212021202
5130440302241002
64332224403230
7502560620325
oct112407461142
927730035610
1010001212002
114272472671
121b31476516
13c35023032
146ac39a7bc
153d804c11c
hex2541e6262

10001212002 has 96 divisors (see below), whose sum is σ = 22637661696. Its totient is φ = 3187641600.

The previous prime is 10001211973. The next prime is 10001212057. The reversal of 10001212002 is 20021210001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30214977 + ... + 30215307.

It is an arithmetic number, because the mean of its divisors is an integer number (235808976).

Almost surely, 210001212002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11318830848).

10001212002 is an abundant number, since it is smaller than the sum of its proper divisors (12636449694).

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

10001212002 is a wasteful number, since it uses less digits than its factorization.

10001212002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001212002 its reverse (20021210001), we get a palindrome (30022422003).

The spelling of 10001212002 in words is "ten billion, one million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 31 62 93 173 186 279 313 331 346 519 558 626 662 939 993 1038 1557 1878 1986 2817 2979 3114 5363 5634 5958 9703 10261 10726 16089 19406 20522 29109 30783 32178 48267 54149 57263 58218 61566 87327 92349 96534 103603 108298 114526 162447 171789 174654 184698 207206 310809 324894 343578 487341 515367 621618 932427 974682 1030734 1678619 1775153 1864854 3211693 3357238 3550306 5035857 5325459 6423386 9635079 10071714 10650918 15107571 15976377 17923319 19270158 28905237 30215142 31952754 35846638 53769957 57810474 107539914 161309871 322619742 555622889 1111245778 1666868667 3333737334 5000606001 10001212002