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3131212010130 = 2335293271914557
BaseRepresentation
bin101101100100001010110…
…001111001001010010010
3102002100012112211000102000
4231210022301321022102
5402300210233311010
610354243044134430
7442136231640501
oct55441261711222
912070175730360
103131212010130
11aa7a37604a76
12426a24697416
1319936c842699
14ab7a133a838
15566b3bb67c0
hex2d90ac79292

3131212010130 has 128 divisors (see below), whose sum is σ = 8382053836800. Its totient is φ = 831776884992.

The previous prime is 3131212010119. The next prime is 3131212010137. The reversal of 3131212010130 is 310102121313.

3131212010130 is a `hidden beast` number, since 313 + 1 + 21 + 201 + 0 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3131212010137) 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 63 ways as a sum of consecutive naturals, for example, 215092812 + ... + 215107368.

It is an arithmetic number, because the mean of its divisors is an integer number (65484795600).

Almost surely, 23131212010130 is an apocalyptic number.

3131212010130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131212010130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191026918400).

3131212010130 is an abundant number, since it is smaller than the sum of its proper divisors (5250841826670).

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

3131212010130 is a wasteful number, since it uses less digits than its factorization.

3131212010130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17585 (or 17579 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3131212010130 its reverse (310102121313), we get a palindrome (3441314131443).

The spelling of 3131212010130 in words is "three trillion, one hundred thirty-one billion, two hundred twelve million, ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 293 586 879 1465 1758 2637 2719 2930 4395 5274 5438 7911 8157 8790 13185 13595 14557 15822 16314 24471 26370 27190 29114 39555 40785 43671 48942 72785 73413 79110 81570 87342 122355 131013 145570 146826 218355 244710 262026 367065 393039 436710 655065 734130 786078 796667 1310130 1593334 1965195 2390001 3930390 3983335 4265201 4780002 7170003 7966670 8530402 11950005 12795603 14340006 21326005 21510009 23900010 25591206 35850015 38386809 39580483 42652010 43020018 63978015 71700030 76773618 79160966 107550045 115160427 118741449 127956030 191934045 197902415 215100090 230320854 237482898 356224347 383868090 395804830 575802135 593707245 712448694 1068673041 1151604270 1187414490 1781121735 2137346082 3562243470 5343365205 10686730410 11597081519 23194163038 34791244557 57985407595 69582489114 104373733671 115970815190 173956222785 208747467342 313121201013 347912445570 521868668355 626242402026 1043737336710 1565606005065 3131212010130