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100222313312 = 2511893199129
BaseRepresentation
bin101110101010110110…
…1110010001101100000
3100120200122222000210002
41131111231302031200
53120223403011222
6114012543555132
710145413415162
oct1352555621540
9316618860702
10100222313312
113955a979410
12175102bbaa8
1395b28aa094
144bca7b0932
152918a00392
hex1755b72360

100222313312 has 48 divisors (see below), whose sum is σ = 217668805200. Its totient is φ = 45043722240.

The previous prime is 100222313293. The next prime is 100222313329. The reversal of 100222313312 is 213313222001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1568237 + ... + 1630892.

It is an arithmetic number, because the mean of its divisors is an integer number (4534766775).

Almost surely, 2100222313312 is an apocalyptic number.

It is an amenable number.

100222313312 is an abundant number, since it is smaller than the sum of its proper divisors (117446491888).

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

100222313312 is a wasteful number, since it uses less digits than its factorization.

100222313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199239 (or 3199231 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100222313312 its reverse (213313222001), we get a palindrome (313535535313).

The spelling of 100222313312 in words is "one hundred billion, two hundred twenty-two million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 176 178 352 356 712 979 1424 1958 2848 3916 7832 15664 31328 3199129 6398258 12796516 25593032 35190419 51186064 70380838 102372128 140761676 281523352 284722481 563046704 569444962 1126093408 1138889924 2277779848 3131947291 4555559696 6263894582 9111119392 12527789164 25055578328 50111156656 100222313312