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103201101344 = 2511226653177
BaseRepresentation
bin110000000011101000…
…0111101011000100000
3100212101021002010202202
41200013100331120200
53142323440220334
6115224313432332
710312263613325
oct1400720753040
9325337063682
10103201101344
113a849370a00
1218001a0b6a8
139968a75653
144dd0254b4c
152a402a417e
hex180743d620

103201101344 has 36 divisors (see below), whose sum is σ = 223326978462. Its totient is φ = 46909589760.

The previous prime is 103201101307. The next prime is 103201101349. The reversal of 103201101344 is 443101102301.

It can be written as a sum of positive squares in only one way, i.e., 98337433744 + 4863667600 = 313588^2 + 69740^2 .

It is a super-2 number, since 2×1032011013442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103201101349) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13322717 + ... + 13330460.

Almost surely, 2103201101344 is an apocalyptic number.

It is an amenable number.

103201101344 is an abundant number, since it is smaller than the sum of its proper divisors (120125877118).

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

103201101344 is a wasteful number, since it uses less digits than its factorization.

103201101344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26653209 (or 26653190 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 103201101344 its reverse (443101102301), we get a palindrome (546302203645).

The spelling of 103201101344 in words is "one hundred three billion, two hundred one million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 26653177 53306354 106612708 213225416 293184947 426450832 586369894 852901664 1172739788 2345479576 3225034417 4690959152 6450068834 9381918304 12900137668 25800275336 51600550672 103201101344