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202054343300 = 225253303712553
BaseRepresentation
bin1011110000101101100…
…0001001101010000100
3201022112111220010201022
42330023120021222010
511302301402441200
6232453353450312
720412044403035
oct2741330115204
9638474803638
10202054343300
1178766455787
12331ab710998
1316090b12824
149acac84a8c
1553c89bd885
hex2f0b609a84

202054343300 has 72 divisors (see below), whose sum is σ = 446913411336. Its totient is φ = 79264373760.

The previous prime is 202054343279. The next prime is 202054343317. The reversal of 202054343300 is 3343450202.

It can be written as a sum of positive squares in 12 ways, for example, as 3794313604 + 198260029696 = 61598^2 + 445264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 202054343300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16089824 + ... + 16102376.

It is an arithmetic number, because the mean of its divisors is an integer number (6207130713).

Almost surely, 2202054343300 is an apocalyptic number.

202054343300 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 202054343300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223456705668).

202054343300 is an abundant number, since it is smaller than the sum of its proper divisors (244859068036).

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

202054343300 is a wasteful number, since it uses less digits than its factorization.

202054343300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15657 (or 15650 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

Adding to 202054343300 its reverse (3343450202), we get a palindrome (205397793502).

The spelling of 202054343300 in words is "two hundred two billion, fifty-four million, three hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 3037 5300 6074 12148 12553 15185 25106 30370 50212 60740 62765 75925 125530 151850 160961 251060 303700 313825 321922 627650 643844 665309 804805 1255300 1330618 1609610 2661236 3219220 3326545 4024025 6653090 8048050 13306180 16096100 16632725 33265450 38123461 66530900 76246922 152493844 190617305 381234610 762469220 953086525 1906173050 2020543433 3812346100 4041086866 8082173732 10102717165 20205434330 40410868660 50513585825 101027171650 202054343300