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130215125261040 = 24352857311960887
BaseRepresentation
bin11101100110111000010010…
…010010010001101011110000
3122002001102222222010211210120
4131212320102102101223300
5114031421034031323130
61140540000330530240
736266506123230441
oct3546702222215360
9562042888124716
10130215125261040
1138543a19565966
1212730691b96980
135787306369b61
142422634d8d2c8
15100c2da826910
hex766e12491af0

130215125261040 has 160 divisors (see below), whose sum is σ = 403944280197120. Its totient is φ = 34700180293632.

The previous prime is 130215125261029. The next prime is 130215125261041. The reversal of 130215125261040 is 40162521512031.

It is a junction number, because it is equal to n+sod(n) for n = 130215125260992 and 130215125261010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130215125261041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2138605477 + ... + 2138666363.

It is an arithmetic number, because the mean of its divisors is an integer number (2524651751232).

Almost surely, 2130215125261040 is an apocalyptic number.

130215125261040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130215125261040 is an abundant number, since it is smaller than the sum of its proper divisors (273729154936080).

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

130215125261040 is a wasteful number, since it uses less digits than its factorization.

130215125261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66879 (or 66873 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 130215125261040 its reverse (40162521512031), we get a palindrome (170377646773071).

The spelling of 130215125261040 in words is "one hundred thirty trillion, two hundred fifteen billion, one hundred twenty-five million, two hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2857 3119 5714 6238 8571 9357 11428 12476 14285 15595 17142 18714 22856 24952 28570 31190 34284 37428 42855 45712 46785 49904 57140 60887 62380 68568 74856 85710 93570 114280 121774 124760 137136 149712 171420 182661 187140 228560 243548 249520 304435 342840 365322 374280 487096 608870 685680 730644 748560 913305 974192 1217740 1461288 1826610 2435480 2922576 3653220 4870960 7306440 8910983 14612880 17821966 26732949 35643932 44554915 53465898 71287864 89109830 106931796 133664745 142575728 173954159 178219660 189906553 213863592 267329490 347908318 356439320 379813106 427727184 521862477 534658980 569719659 695816636 712878640 759626212 869770795 949532765 1043724954 1069317960 1139439318 1391633272 1519252424 1739541590 1899065530 2087449908 2138635920 2278878636 2609312385 2783266544 2848598295 3038504848 3479083180 3798131060 4174899816 4557757272 5218624770 5697196590 6958166360 7596262120 8349799632 9115514544 10437249540 11394393180 13916332720 15192524240 20874499080 22788786360 41748998160 45577572720 542563021921 1085126043842 1627689065763 2170252087684 2712815109605 3255378131526 4340504175368 5425630219210 6510756263052 8138445328815 8681008350736 10851260438420 13021512526104 16276890657630 21702520876840 26043025052208 32553781315260 43405041753680 65107562630520 130215125261040