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61005560100 = 22352972096411
BaseRepresentation
bin111000110100001101…
…101111100100100100
312211110120201112212220
4320310031233210210
51444414410410400
644005304512340
74256526463542
oct706415574444
9184416645786
1061005560100
1123966059271
12b9a677b6b0
1359a2b93074
142d4a24ad92
1518c0b817a0
hexe3436f924

61005560100 has 72 divisors (see below), whose sum is σ = 178329190368. Its totient is φ = 16100428800.

The previous prime is 61005560081. The next prime is 61005560101. The reversal of 61005560100 is 106550016.

61005560100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×610055601002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61005560101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019106 + ... + 1077305.

Almost surely, 261005560100 is an apocalyptic number.

61005560100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61005560100 is an abundant number, since it is smaller than the sum of its proper divisors (117323630268).

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

61005560100 is a wasteful number, since it uses less digits than its factorization.

61005560100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096525 (or 2096518 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 61005560100 in words is "sixty-one billion, five million, five hundred sixty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 970 1164 1455 1940 2425 2910 4850 5820 7275 9700 14550 29100 2096411 4192822 6289233 8385644 10482055 12578466 20964110 25156932 31446165 41928220 52410275 62892330 104820550 125784660 157230825 203351867 209641100 314461650 406703734 610055601 628923300 813407468 1016759335 1220111202 2033518670 2440222404 3050278005 4067037340 5083796675 6100556010 10167593350 12201112020 15251390025 20335186700 30502780050 61005560100