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101712226338 = 234250572
BaseRepresentation
bin101111010111010000…
…1010110100000100010
3100201112111111110020000
41132232201112200202
53131301312220323
6114420450000430
710230344442012
oct1365641264042
9321474443200
10101712226338
113a15499a098
1217867276116
13978c47a018
144ccc609c42
1529a4705e43
hex17ae856822

101712226338 has 30 divisors (see below), whose sum is σ = 227919825441. Its totient is φ = 33902722368.

The previous prime is 101712226327. The next prime is 101712226339. The reversal of 101712226338 is 833622217101.

101712226338 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 12 + 2 + 2 + 633 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93454324209 + 8257902129 = 305703^2 + 90873^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=225513.

It is not an unprimeable number, because it can be changed into a prime (101712226339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4046706 + ... + 4071762.

Almost surely, 2101712226338 is an apocalyptic number.

101712226338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

101712226338 is an abundant number, since it is smaller than the sum of its proper divisors (126207599103).

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

101712226338 is an frugal number, since it uses more digits than its factorization.

101712226338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50128 (or 25062 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 101712226338 in words is "one hundred one billion, seven hundred twelve million, two hundred twenty-six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 25057 50114 75171 150342 225513 451026 676539 1353078 2029617 4059234 627853249 1255706498 1883559747 3767119494 5650679241 11301358482 16952037723 33904075446 50856113169 101712226338