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102023201232200 = 23522917590207109
BaseRepresentation
bin10111001100101000100000…
…101010110001010101001000
3111101020022201022101002112002
4113030220200222301111020
5101333022004003412300
61000552451150410132
730326635014645563
oct2714504052612510
9441208638332462
10102023201232200
112a5648843a1126
12b538943800948
1344c0992365581
141b29d40bb34da
15bbdcce5ab5d5
hex5cca20ab1548

102023201232200 has 48 divisors (see below), whose sum is σ = 245383389184500. Its totient is φ = 39402063921920.

The previous prime is 102023201232187. The next prime is 102023201232233. The reversal of 102023201232200 is 2232102320201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 54105822303556 + 47917378928644 = 7355666^2 + 6922238^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 8795097755 + ... + 8795109354.

Almost surely, 2102023201232200 is an apocalyptic number.

102023201232200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102023201232200 is an abundant number, since it is smaller than the sum of its proper divisors (143360187952300).

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

102023201232200 is a wasteful number, since it uses less digits than its factorization.

102023201232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17590207154 (or 17590207145 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102023201232200 its reverse (2232102320201), we get a palindrome (104255303552401).

The spelling of 102023201232200 in words is "one hundred two trillion, twenty-three billion, two hundred one million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 17590207109 35180414218 70360828436 87951035545 140721656872 175902071090 351804142180 439755177725 510116006161 703608284360 879510355450 1020232012322 1759020710900 2040464024644 2550580030805 3518041421800 4080928049288 5101160061610 10202320123220 12752900154025 20404640246440 25505800308050 51011600616100 102023201232200