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101630188660 = 225711135076433
BaseRepresentation
bin101111010100110100…
…0011001110001110100
3100201022210010111200111
41132221220121301310
53131114312014120
6114404355352404
710225330231060
oct1365150316164
9321283114614
10101630188660
113a112656a60
12178438b2704
139778485310
144cc1772aa0
15299c3ed75a
hex17a9a19c74

101630188660 has 96 divisors (see below), whose sum is σ = 286554546432. Its totient is φ = 29240248320.

The previous prime is 101630188609. The next prime is 101630188661. The reversal of 101630188660 is 66881036101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101630188661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2518197 + ... + 2558236.

It is an arithmetic number, because the mean of its divisors is an integer number (2984943192).

Almost surely, 2101630188660 is an apocalyptic number.

101630188660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101630188660 is an abundant number, since it is smaller than the sum of its proper divisors (184924357772).

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

101630188660 is a wasteful number, since it uses less digits than its factorization.

101630188660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076473 (or 5076471 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 101630188660 in words is "one hundred one billion, six hundred thirty million, one hundred eighty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 5076433 10152866 20305732 25382165 35535031 50764330 55840763 65993629 71070062 101528660 111681526 131987258 142140124 177675155 223363052 263974516 279203815 329968145 355350310 390885341 461955403 558407630 659936290 710700620 725929919 781770682 923910806 1116815260 1319872580 1451859838 1563541364 1847821612 1954426705 2309777015 2903719676 3629649595 3908853410 4619554030 5081509433 7259299190 7817706820 9239108060 10163018866 14518598380 20326037732 25407547165 50815094330 101630188660