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101512431020 = 225711135070551
BaseRepresentation
bin101111010001010011…
…1001100010110101100
3100201000120112210120102
41132202213030112230
53130344140243040
6114344551410232
710222400266250
oct1364247142654
9321016483512
10101512431020
113a0621369a0
1217810383978
139759c64c40
144cadc7c260
152991ddc515
hex17a29cc5ac

101512431020 has 96 divisors (see below), whose sum is σ = 286222519296. Its totient is φ = 29206368000.

The previous prime is 101512430977. The next prime is 101512431023. The reversal of 101512431020 is 20134215101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101512430983 and 101512431001.

It is not an unprimeable number, because it can be changed into a prime (101512431023) 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, 2515256 + ... + 2555295.

It is an arithmetic number, because the mean of its divisors is an integer number (2981484576).

Almost surely, 2101512431020 is an apocalyptic number.

101512431020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101512431020 is an abundant number, since it is smaller than the sum of its proper divisors (184710088276).

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

101512431020 is a wasteful number, since it uses less digits than its factorization.

101512431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070591 (or 5070589 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 101512431020 its reverse (20134215101), we get a palindrome (121646646121).

The spelling of 101512431020 in words is "one hundred one billion, five hundred twelve million, four 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 5070551 10141102 20282204 25352755 35493857 50705510 55776061 65917163 70987714 101411020 111552122 131834326 141975428 177469285 223104244 263668652 278880305 329585815 354938570 390432427 461420141 557760610 659171630 709877140 725088793 780864854 922840282 1115521220 1318343260 1450177586 1561729708 1845680564 1952162135 2307100705 2900355172 3625443965 3904324270 4614201410 5075621551 7250887930 7808648540 9228402820 10151243102 14501775860 20302486204 25378107755 50756215510 101512431020