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10011133214012 = 2271393433749267
BaseRepresentation
bin1001000110101110011000…
…0010011111110100111100
31022110001111002100010100002
42101223212002133310330
52303010300100322022
633143015012253432
72052165133165220
oct221534602376474
938401432303302
1010011133214012
11320a774789537
121158284311278
13578079855518
14268781998780
1512562c548092
hex91ae609fd3c

10011133214012 has 48 divisors (see below), whose sum is σ = 20172212686080. Its totient is φ = 4258372390272.

The previous prime is 10011133214009. The next prime is 10011133214059. The reversal of 10011133214012 is 21041233111001.

It is a super-2 number, since 2×100111332140122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12986603 + ... + 13735869.

It is an arithmetic number, because the mean of its divisors is an integer number (420254430960).

Almost surely, 210011133214012 is an apocalyptic number.

It is an amenable number.

10011133214012 is an abundant number, since it is smaller than the sum of its proper divisors (10161079472068).

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

10011133214012 is a wasteful number, since it uses less digits than its factorization.

10011133214012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752850 (or 752848 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10011133214012 its reverse (21041233111001), we get a palindrome (31052366325013).

The spelling of 10011133214012 in words is "ten trillion, eleven billion, one hundred thirty-three million, two hundred fourteen thousand, twelve".

Divisors: 1 2 4 7 14 28 139 278 556 973 1946 3433 3892 6866 13732 24031 48062 96124 477187 749267 954374 1498534 1908748 2997068 3340309 5244869 6680618 10489738 13361236 20979476 104148113 208296226 416592452 729036791 1458073582 2572233611 2916147164 5144467222 10288934444 18005635277 36011270554 72022541108 357540471929 715080943858 1430161887716 2502783303503 5005566607006 10011133214012