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1002011211012 = 223731993122149
BaseRepresentation
bin11101001010011001000…
…01011011010100000100
310112210100212212112022210
432211030201123110010
5112404104332223022
62044152333423420
7132251525523000
oct16451441332404
93483325775283
101002011211012
11356a5022a559
1214224363ab70
1373648b69a26
14366d75bd700
151b0e80e0a0c
hexe94c85b504

1002011211012 has 96 divisors (see below), whose sum is σ = 2727951520000. Its totient is φ = 286142927616.

The previous prime is 1002011210951. The next prime is 1002011211049. The reversal of 1002011211012 is 2101121102001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8142114 + ... + 8264262.

Almost surely, 21002011211012 is an apocalyptic number.

1002011211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002011211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363975760000).

1002011211012 is an abundant number, since it is smaller than the sum of its proper divisors (1725940308988).

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

1002011211012 is a wasteful number, since it uses less digits than its factorization.

1002011211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124170 (or 124154 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1002011211012 its reverse (2101121102001), we get a palindrome (3103132313013).

The spelling of 1002011211012 in words is "one trillion, two billion, eleven million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 1993 2058 3986 4116 5979 7972 11958 13951 23916 27902 41853 55804 83706 97657 122149 167412 195314 244298 292971 366447 390628 488596 585942 683599 732894 855043 1171884 1367198 1465788 1710086 2050797 2565129 2734396 3420172 4101594 5130258 5985301 8203188 10260516 11970602 17955903 23941204 35911806 41897107 71823612 83794214 125691321 167588428 243442957 251382642 486885914 502765284 730328871 973771828 1460657742 1704100699 2921315484 3408201398 5112302097 6816402796 10224604194 11928704893 20449208388 23857409786 35786114679 47714819572 71572229358 83500934251 143144458716 167001868502 250502802753 334003737004 501005605506 1002011211012