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1010010111096 = 233731129036659
BaseRepresentation
bin11101011001010010100…
…10110011110001111000
310120120000100012202102110
432230221102303301320
5113022000042023341
62051554153532320
7132653664202260
oct16545122636170
93516010182373
101010010111096
1135a385416588
121438b64140a0
13743220b62bc
1436c55a7c7a0
151b415470216
hexeb294b3c78

1010010111096 has 128 divisors (see below), whose sum is σ = 2896454246400. Its totient is φ = 287504158080.

The previous prime is 1010010111091. The next prime is 1010010111101. The reversal of 1010010111096 is 6901110100101.

It is an interprime number because it is at equal distance from previous prime (1010010111091) and next prime (1010010111101).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010010111091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151672615 + ... + 151679273.

It is an arithmetic number, because the mean of its divisors is an integer number (22628548800).

Almost surely, 21010010111096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010010111096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448227123200).

1010010111096 is an abundant number, since it is smaller than the sum of its proper divisors (1886444135304).

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

1010010111096 is a wasteful number, since it uses less digits than its factorization.

1010010111096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9889 (or 9885 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 21.

Adding to 1010010111096 its reverse (6901110100101), we get a palindrome (7911120211197).

The spelling of 1010010111096 in words is "one trillion, ten billion, ten million, one hundred eleven thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 311 622 933 1244 1866 2177 2488 2903 3732 4354 5806 6531 6659 7464 8708 8709 11612 13062 13318 17416 17418 19977 20321 23224 26124 26636 34836 39954 40642 46613 52248 53272 60963 69672 79908 81284 93226 121926 139839 159816 162568 186452 243852 279678 372904 487704 559356 902833 1118712 1805666 2070949 2708499 3611332 4141898 5416998 6212847 6319831 7222664 8283796 10833996 12425694 12639662 14496643 16567592 18959493 19331077 21667992 24851388 25279324 28993286 37918986 38662154 43489929 49702776 50558648 57986572 57993231 75837972 77324308 86979858 115973144 115986462 135317539 151675944 154648616 173959716 231972924 270635078 347919432 405952617 463945848 541270156 811905234 1082540312 1623810468 3247620936 6011964947 12023929894 18035894841 24047859788 36071789682 42083754629 48095719576 72143579364 84167509258 126251263887 144287158728 168335018516 252502527774 336670037032 505005055548 1010010111096