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100111110021096 = 2331910691783115183
BaseRepresentation
bin10110110000110011101111…
…001001101001111111101000
3111010110112021101102102100020
4112300303233021221333220
5101110210023131133341
6552530224204040440
730041534426553636
oct2660635711517750
9433415241372306
10100111110021096
1129997979796599
12b28a254233120
1343b258b5c1b65
141aa15915c2356
15b891be07c566
hex5b0cef269fe8

100111110021096 has 128 divisors (see below), whose sum is σ = 263846920704000. Its totient is φ = 31566472996608.

The previous prime is 100111110021049. The next prime is 100111110021157. The reversal of 100111110021096 is 690120011111001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869090721 + ... + 869205903.

It is an arithmetic number, because the mean of its divisors is an integer number (2061304068000).

Almost surely, 2100111110021096 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 100111110021096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131923460352000).

100111110021096 is an abundant number, since it is smaller than the sum of its proper divisors (163735810682904).

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

100111110021096 is a wasteful number, since it uses less digits than its factorization.

100111110021096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118063 (or 118059 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 24.

Adding to 100111110021096 its reverse (690120011111001), we get a palindrome (790231121132097).

The spelling of 100111110021096 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, twenty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1069 1783 2138 3207 3566 4276 5349 6414 7132 8552 10698 12828 14264 20311 21396 25656 33877 40622 42792 60933 67754 81244 101631 115183 121866 135508 162488 203262 230366 243732 271016 345549 406524 460732 487464 691098 813048 921464 1382196 1906027 2188477 2764392 3812054 4376954 5718081 6565431 7624108 8753908 11436162 13130862 15248216 17507816 22872324 26261724 36214513 45744648 52523448 72429026 108643539 123130627 144858052 205371289 217287078 246261254 289716104 369391881 410742578 434574156 492522508 616113867 738783762 821485156 869148312 985045016 1232227734 1477567524 1642970312 2339481913 2464455468 2955135048 3902054491 4678963826 4928910936 7018445739 7804108982 9357927652 11706163473 14036891478 15608217964 18715855304 23412326946 28073782956 31216435928 46824653892 56147565912 93649307784 219541907941 439083815882 658625723823 878167631764 1317251447646 1756335263528 2634502895292 4171296250879 5269005790584 8342592501758 12513888752637 16685185003516 25027777505274 33370370007032 50055555010548 100111110021096