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101312231020 = 225711135060551
BaseRepresentation
bin101111001011010101…
…1011111011001101100
3100200111121211120210121
41132112223133121230
53124441412343040
6114313040414324
710214416516630
oct1362653373154
9320447746717
10101312231020
1139a6a127750
12177753173a4
13972763a8c0
144c91446dc0
15297e543c4a
hex1796adf66c

101312231020 has 96 divisors (see below), whose sum is σ = 285658039296. Its totient is φ = 29148768000.

The previous prime is 101312230997. The next prime is 101312231057. The reversal of 101312231020 is 20132213101.

It is a junction number, because it is equal to n+sod(n) for n = 101312230985 and 101312231003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2510256 + ... + 2550295.

It is an arithmetic number, because the mean of its divisors is an integer number (2975604576).

Almost surely, 2101312231020 is an apocalyptic number.

101312231020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101312231020 is an abundant number, since it is smaller than the sum of its proper divisors (184345808276).

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

101312231020 is a wasteful number, since it uses less digits than its factorization.

101312231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060591 (or 5060589 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101312231020 its reverse (20132213101), we get a palindrome (121444444121).

The spelling of 101312231020 in words is "one hundred one billion, three hundred twelve million, two hundred thirty-one thousand, twenty".

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 5060551 10121102 20242204 25302755 35423857 50605510 55666061 65787163 70847714 101211020 111332122 131574326 141695428 177119285 222664244 263148652 278330305 328935815 354238570 389662427 460510141 556660610 657871630 708477140 723658793 779324854 921020282 1113321220 1315743260 1447317586 1558649708 1842040564 1948312135 2302550705 2894635172 3618293965 3896624270 4605101410 5065611551 7236587930 7793248540 9210202820 10131223102 14473175860 20262446204 25328057755 50656115510 101312231020