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131302104212020 = 225715112113512761
BaseRepresentation
bin11101110110101100100111…
…010001111010001000110100
3122012220100200101210210020111
4131312230213101322020310
5114202223202134241040
61143131204242112404
736441156354662110
oct3566544721721064
9565810611723214
10131302104212020
1138922a00875015
121288728904b704
1358359735b36a1
14245d0acdac740
15102a7080b8dea
hex776b2747a234

131302104212020 has 96 divisors (see below), whose sum is σ = 317238777386496. Its totient is φ = 44715953664000.

The previous prime is 131302104212009. The next prime is 131302104212033. The reversal of 131302104212020 is 20212401203131.

It is a super-2 number, since 2×1313021042120202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131302104211982 and 131302104212000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255812440 + ... + 256325200.

It is an arithmetic number, because the mean of its divisors is an integer number (3304570597776).

Almost surely, 2131302104212020 is an apocalyptic number.

131302104212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131302104212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158619388693248).

131302104212020 is an abundant number, since it is smaller than the sum of its proper divisors (185936673174476).

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

131302104212020 is a wasteful number, since it uses less digits than its factorization.

131302104212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525041 (or 525039 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 131302104212020 its reverse (20212401203131), we get a palindrome (151514505415151).

The spelling of 131302104212020 in words is "one hundred thirty-one trillion, three hundred two billion, one hundred four million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 755 1057 1510 2114 3020 4228 5285 10570 12113 21140 24226 48452 60565 84791 121130 169582 242260 339164 423955 512761 847910 1025522 1695820 1829063 2051044 2563805 3589327 3658126 5127610 7178654 7316252 9145315 10255220 12803441 14357308 17946635 18290630 25606882 35893270 36581260 51213764 64017205 71786540 77426911 128034410 154853822 256068820 309707644 387134555 541988377 774269110 1083976754 1548538220 2167953508 2709941885 5419883770 6211073993 10839767540 12422147986 24844295972 31055369965 43477517951 62110739930 86955035902 124221479860 173910071804 217387589755 434775179510 869550359020 937872172943 1875744345886 3751488691772 4689360864715 6565105210601 9378721729430 13130210421202 18757443458860 26260420842404 32825526053005 65651052106010 131302104212020