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101030313100 = 225219291833581
BaseRepresentation
bin101111000010111100…
…0000011110010001100
3100122202222100200010011
41132011320003302030
53123402230004400
6114225050123004
710204424330533
oct1360570036214
9318688320104
10101030313100
1139934a83632
12176b6a20464
1396b1101272
144c65c1d31a
1529649078ba
hex1785e03c8c

101030313100 has 72 divisors (see below), whose sum is σ = 238732376400. Its totient is φ = 36964972800.

The previous prime is 101030313079. The next prime is 101030313133. The reversal of 101030313100 is 1313030101.

It is a happy number.

It is a super-2 number, since 2×1010303131002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861691 + ... + 971890.

It is an arithmetic number, because the mean of its divisors is an integer number (3315727450).

Almost surely, 2101030313100 is an apocalyptic number.

101030313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101030313100 is an abundant number, since it is smaller than the sum of its proper divisors (137702063300).

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

101030313100 is a wasteful number, since it uses less digits than its factorization.

101030313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833643 (or 1833636 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 101030313100 its reverse (1313030101), we get a palindrome (102343343201).

The spelling of 101030313100 in words is "one hundred one billion, thirty million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 95 100 116 145 190 290 380 475 551 580 725 950 1102 1450 1900 2204 2755 2900 5510 11020 13775 27550 55100 1833581 3667162 7334324 9167905 18335810 34838039 36671620 45839525 53173849 69676078 91679050 106347698 139352156 174190195 183358100 212695396 265869245 348380390 531738490 696760780 870950975 1010303131 1063476980 1329346225 1741901950 2020606262 2658692450 3483803900 4041212524 5051515655 5317384900 10103031310 20206062620 25257578275 50515156550 101030313100