Search a number
-
+
102001222301300 = 22527615832366173
BaseRepresentation
bin10111001100010100000010…
…100111110011011001110100
3111101011012222120010201102022
4113030110002213303121310
5101332142000402120200
61000534414205532312
730325226243061050
oct2714240247633164
9441135876121368
10102001222301300
112a556525906023
12b53462ab74098
1344bb89b9ac50a
141b28c57b58c60
15bbd444c40885
hex5cc5029f3674

102001222301300 has 72 divisors (see below), whose sum is σ = 252967245893376. Its totient is φ = 34971264984960.

The previous prime is 102001222301269. The next prime is 102001222301311. The reversal of 102001222301300 is 3103222100201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41925014 + ... + 44291186.

Almost surely, 2102001222301300 is an apocalyptic number.

102001222301300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001222301300 is an abundant number, since it is smaller than the sum of its proper divisors (150966023592076).

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

102001222301300 is a wasteful number, since it uses less digits than its factorization.

102001222301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427777 (or 2427770 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102001222301300 its reverse (3103222100201), we get a palindrome (105104444401501).

The spelling of 102001222301300 in words is "one hundred two trillion, one billion, two hundred twenty-two million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 61583 123166 246332 307915 431081 615830 862162 1231660 1539575 1724324 2155405 2366173 3079150 4310810 4732346 6158300 8621620 9464692 10777025 11830865 16563211 21554050 23661730 33126422 43108100 47323460 59154325 66252844 82816055 118308650 165632110 236617300 331264220 414080275 828160550 1656321100 145716031859 291432063718 582864127436 728580159295 1020012223013 1457160318590 2040024446026 2914320637180 3642900796475 4080048892052 5100061115065 7285801592950 10200122230130 14571603185900 20400244460260 25500305575325 51000611150650 102001222301300