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231100202000 = 2453241479461
BaseRepresentation
bin1101011100111010100…
…1010011110000010000
3211002111202210122021202
43113032221103300100
512241243122431000
6254055503210332
722460610206603
oct3271651236020
9732452718252
10231100202000
118a011048288
1238956ba69a8
1318a3c605b75
14b2846bc33a
156028973dd5
hex35cea53c10

231100202000 has 80 divisors (see below), whose sum is σ = 561120132144. Its totient is φ = 92056320000.

The previous prime is 231100201991. The next prime is 231100202023. The reversal of 231100202000 is 202001132.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 70626251536 + 160473950464 = 265756^2 + 400592^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242270 + ... + 721730.

Almost surely, 2231100202000 is an apocalyptic number.

231100202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231100202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280560066072).

231100202000 is an abundant number, since it is smaller than the sum of its proper divisors (330019930144).

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

231100202000 is a wasteful number, since it uses less digits than its factorization.

231100202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479725 (or 479709 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 231100202000 its reverse (202001132), we get a palindrome (231302203132).

The spelling of 231100202000 in words is "two hundred thirty-one billion, one hundred million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 241 250 400 482 500 964 1000 1205 1928 2000 2410 3856 4820 6025 9640 12050 19280 24100 30125 48200 60250 96400 120500 241000 479461 482000 958922 1917844 2397305 3835688 4794610 7671376 9589220 11986525 19178440 23973050 38356880 47946100 59932625 95892200 115550101 119865250 191784400 231100202 239730500 462200404 479461000 577750505 924400808 958922000 1155501010 1848801616 2311002020 2888752525 4622004040 5777505050 9244008080 11555010100 14443762625 23110020200 28887525250 46220040400 57775050500 115550101000 231100202000