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2153053431012 = 22311671267119213
BaseRepresentation
bin11111010101001011111…
…111000010010011100100
321121211101222212201202010
4133111023333002103210
5240233423134243022
64325033223114220
7311360446126401
oct37251377022344
97554358781663
102153053431012
11760117593940
122a93392a2970
131280555b5033
14762cb9952a8
153b014ba750c
hex1f54bfc24e4

2153053431012 has 96 divisors (see below), whose sum is σ = 5563026653184. Its totient is φ = 642618345600.

The previous prime is 2153053430999. The next prime is 2153053431077. The reversal of 2153053431012 is 2101343503512.

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 31 ways as a sum of consecutive naturals, for example, 112052718 + ... + 112071930.

It is an arithmetic number, because the mean of its divisors is an integer number (57948194304).

Almost surely, 22153053431012 is an apocalyptic number.

2153053431012 is a gapful number since it is divisible by the number (22) 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 2153053431012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781513326592).

2153053431012 is an abundant number, since it is smaller than the sum of its proper divisors (3409973222172).

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

2153053431012 is a wasteful number, since it uses less digits than its factorization.

2153053431012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31969 (or 31967 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 2153053431012 its reverse (2101343503512), we get a palindrome (4254396934524).

The spelling of 2153053431012 in words is "two trillion, one hundred fifty-three billion, fifty-three million, four hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 737 804 1474 2211 2948 4422 8844 12671 19213 25342 38013 38426 50684 57639 76026 76852 115278 139381 152052 211343 230556 278762 418143 422686 557524 634029 836286 845372 848957 1268058 1287271 1672572 1697914 2536116 2546871 2574542 3395828 3861813 5093742 5149084 7723626 9338527 10187484 14159981 15447252 18677054 28015581 28319962 37354108 42479943 56031162 56639924 84959886 112062324 169919772 243447923 486895846 730343769 973791692 1460687538 2677927153 2921375076 5355854306 8033781459 10711708612 16067562918 16311010841 32135125836 32622021682 48933032523 65244043364 97866065046 179421119251 195732130092 358842238502 538263357753 717684477004 1076526715506 2153053431012