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101357060 = 225717371151
BaseRepresentation
bin1100000101010…
…01011000000100
321001201110202012
412002221120010
5201421411220
614020233352
72340343430
oct602513004
9231643665
10101357060
1152239072
1229b3b858
1317cca3bc
14d6659c0
158d71ac5
hex60a9604

101357060 has 96 divisors (see below), whose sum is σ = 264757248. Its totient is φ = 31795200.

The previous prime is 101357057. The next prime is 101357083. The reversal of 101357060 is 60753101.

It is a super-2 number, since 2×1013570602 = 20546507223687200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87485 + ... + 88635.

It is an arithmetic number, because the mean of its divisors is an integer number (2757888).

Almost surely, 2101357060 is an apocalyptic number.

101357060 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 101357060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132378624).

101357060 is an abundant number, since it is smaller than the sum of its proper divisors (163400188).

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

101357060 is a wasteful number, since it uses less digits than its factorization.

101357060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 101357060 is about 10067.6243473821. The cubic root of 101357060 is about 466.2490947233.

The spelling of 101357060 in words is "one hundred one million, three hundred fifty-seven thousand, sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 37 68 70 74 85 119 140 148 170 185 238 259 340 370 476 518 595 629 740 1036 1151 1190 1258 1295 2302 2380 2516 2590 3145 4403 4604 5180 5755 6290 8057 8806 11510 12580 16114 17612 19567 22015 23020 32228 39134 40285 42587 44030 78268 80570 85174 88060 97835 136969 161140 170348 195670 212935 273938 298109 391340 425870 547876 596218 684845 723979 851740 1192436 1369690 1447958 1490545 2739380 2895916 2981090 3619895 5067853 5962180 7239790 10135706 14479580 20271412 25339265 50678530 101357060