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131212001023040 = 2657371583156383
BaseRepresentation
bin11101110101011000101100…
…101101100001010001000000
3122012120202002221202112110002
4131311120230231201101000
5114144234134230214130
61143021543334055132
736431516463342050
oct3565305455412100
9565522087675402
10131212001023040
1138898773984583
12128719217aa4a8
13582a3142a2252
1424589a24cd560
1510281d2b57b45
hex77562cb61440

131212001023040 has 112 divisors (see below), whose sum is σ = 366735010040832. Its totient is φ = 43771107649536.

The previous prime is 131212001022961. The next prime is 131212001023049. The reversal of 131212001023040 is 40320100212131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1312120010230402 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (131212001023049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791495312 + ... + 791661071.

Almost surely, 2131212001023040 is an apocalyptic number.

131212001023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131212001023040 is an abundant number, since it is smaller than the sum of its proper divisors (235523009017792).

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

131212001023040 is a wasteful number, since it uses less digits than its factorization.

131212001023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583156444 (or 1583156434 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131212001023040 its reverse (40320100212131), we get a palindrome (171532101235171).

The spelling of 131212001023040 in words is "one hundred thirty-one trillion, two hundred twelve billion, one million, twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 140 148 160 185 224 259 280 296 320 370 448 518 560 592 740 1036 1120 1184 1295 1480 2072 2240 2368 2590 2960 4144 5180 5920 8288 10360 11840 16576 20720 41440 82880 1583156383 3166312766 6332625532 7915781915 11082094681 12665251064 15831563830 22164189362 25330502128 31663127660 44328378724 50661004256 55410473405 58576786171 63326255320 88656757448 101322008512 110820946810 117153572342 126652510640 177313514896 221641893620 234307144684 253305021280 292883930855 354627029792 410037503197 443283787240 468614289368 506610042560 585767861710 709254059584 820075006394 886567574480 937228578736 1171535723420 1640150012788 1773135148960 1874457157472 2050187515985 2343071446840 3280300025576 3546270297920 3748914314944 4100375031970 4686142893680 6560600051152 8200750063940 9372285787360 13121200102304 16401500127880 18744571574720 26242400204608 32803000255760 65606000511520 131212001023040