Search a number
-
+
100010211021112 = 23713132514193417
BaseRepresentation
bin10110101111010101110001…
…000110100001000100111000
3111010002212211120011010221211
4112233111301012201010320
5101102031403010133422
6552412020124212504
730031333155323140
oct2657256106410470
9433085746133854
10100010211021112
11299591019514a7
12b27279539a134
1343a5bcb778c82
141a9a73cdc5920
15b86765e62577
hex5af5711a1138

100010211021112 has 64 divisors (see below), whose sum is σ = 216010006122240. Its totient is φ = 42521238240000.

The previous prime is 100010211021053. The next prime is 100010211021169. The reversal of 100010211021112 is 211120112010001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100010211021092 and 100010211021101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21752628 + ... + 25946044.

It is an arithmetic number, because the mean of its divisors is an integer number (3375156345660).

Almost surely, 2100010211021112 is an apocalyptic number.

It is an amenable number.

100010211021112 is an abundant number, since it is smaller than the sum of its proper divisors (115999795101128).

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

100010211021112 is a wasteful number, since it uses less digits than its factorization.

100010211021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196812 (or 4196808 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100010211021112 its reverse (211120112010001), we get a palindrome (311130323031113).

The spelling of 100010211021112 in words is "one hundred trillion, ten billion, two hundred eleven million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 131 262 524 917 1048 1834 3251 3668 6502 7336 13004 22757 26008 45514 91028 182056 425881 851762 1703524 2981167 3407048 4193417 5962334 8386834 11924668 16773668 23849336 29353919 33547336 58707838 117415676 234831352 549337627 1098675254 2197350508 3845363389 4394701016 7690726778 13632798667 15381453556 27265597334 30762907112 54531194668 95429590669 109062389336 190859181338 381718362676 763436725352 1785896625377 3571793250754 7143586501508 12501276377639 14287173003016 25002552755278 50005105510556 100010211021112