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60106803100 = 225217239147937
BaseRepresentation
bin110111111110101001…
…010000011110011100
312202010221112222001121
4313332221100132130
51441044320144400
643340201220324
74225334253001
oct677651203634
9182127488047
1060106803100
11235447a5893
12b7957916a4
13588b9133a6
142ca2b358a8
15186bced21a
hexdfea5079c

60106803100 has 72 divisors (see below), whose sum is σ = 138682998720. Its totient is φ = 22533611520.

The previous prime is 60106803079. The next prime is 60106803103. The reversal of 60106803100 is 130860106.

It is a super-2 number, since 2×601068031002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60106803103) 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, 332332 + ... + 480268.

It is an arithmetic number, because the mean of its divisors is an integer number (1926152760).

Almost surely, 260106803100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60106803100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69341499360).

60106803100 is an abundant number, since it is smaller than the sum of its proper divisors (78576195620).

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

60106803100 is a wasteful number, since it uses less digits than its factorization.

60106803100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148207 (or 148200 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 60106803100 in words is "sixty billion, one hundred six million, eight hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 239 340 425 478 850 956 1195 1700 2390 4063 4780 5975 8126 11950 16252 20315 23900 40630 81260 101575 147937 203150 295874 406300 591748 739685 1479370 2514929 2958740 3698425 5029858 7396850 10059716 12574645 14793700 25149290 35356943 50298580 62873225 70713886 125746450 141427772 176784715 251492900 353569430 601068031 707138860 883923575 1202136062 1767847150 2404272124 3005340155 3535694300 6010680310 12021360620 15026700775 30053401550 60106803100