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102061655060 = 22541145385661
BaseRepresentation
bin101111100001101011…
…0010100010000010100
3100202102212000021022112
41133003112110100110
53133010240430220
6114515251250152
710242116516441
oct1370326242024
9322385007275
10102061655060
113a314164062
12179442a9958
139816993191
144d22ba89c8
1529c522a5c5
hex17c3594414

102061655060 has 48 divisors (see below), whose sum is σ = 219710694672. Its totient is φ = 39801062400.

The previous prime is 102061655053. The next prime is 102061655063. The reversal of 102061655060 is 60556160201.

It can be written as a sum of positive squares in 8 ways, for example, as 9683347216 + 92378307844 = 98404^2 + 303938^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102061655063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1148630 + ... + 1234290.

It is an arithmetic number, because the mean of its divisors is an integer number (4577306139).

Almost surely, 2102061655060 is an apocalyptic number.

102061655060 is a gapful number since it is divisible by the number (10) 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 102061655060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109855347336).

102061655060 is an abundant number, since it is smaller than the sum of its proper divisors (117649039612).

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

102061655060 is a wasteful number, since it uses less digits than its factorization.

102061655060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87164 (or 87162 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 102061655060 in words is "one hundred two billion, sixty-one million, six hundred fifty-five thousand, sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1453 2906 5812 7265 14530 29060 59573 85661 119146 171322 238292 297865 342644 428305 595730 856610 1191460 1713220 3512101 7024202 14048404 17560505 35121010 70242020 124465433 248930866 497861732 622327165 1244654330 2489308660 5103082753 10206165506 20412331012 25515413765 51030827530 102061655060