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204414411102 = 231143389185161
BaseRepresentation
bin1011111001100000001…
…1000110000101011110
3201112121222210000002220
42332120003012011132
511322120042123402
6233523502130210
720524402553136
oct2763003060536
9645558700086
10204414411102
1179767673640
1233749b80966
1316378a59755
149c724abac6
1554b5ca7dbc
hex2f980c615e

204414411102 has 64 divisors (see below), whose sum is σ = 457542708480. Its totient is φ = 60347347200.

The previous prime is 204414411079. The next prime is 204414411109. The reversal of 204414411102 is 201114414402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204414411109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011402 + ... + 1196562.

It is an arithmetic number, because the mean of its divisors is an integer number (7149104820).

Almost surely, 2204414411102 is an apocalyptic number.

204414411102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 204414411102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228771354240).

204414411102 is an abundant number, since it is smaller than the sum of its proper divisors (253128297378).

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

204414411102 is a wasteful number, since it uses less digits than its factorization.

204414411102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185609.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 204414411102 its reverse (201114414402), we get a palindrome (405528825504).

It can be divided in two parts, 204414 and 411102, that added together give a palindrome (615516).

The spelling of 204414411102 in words is "two hundred four billion, four hundred fourteen million, four hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 389 473 778 946 1167 1419 2334 2838 4279 8558 12837 16727 25674 33454 50181 100362 183997 185161 367994 370322 551991 555483 1103982 1110966 2036771 4073542 6110313 7961923 12220626 15923846 23885769 47771538 72027629 87581153 144055258 175162306 216082887 262743459 432165774 525486918 792303919 1584607838 2376911757 3097188047 4753823514 6194376094 9291564141 18583128282 34069068517 68138137034 102207205551 204414411102