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3121032144120 = 2335112938069687
BaseRepresentation
bin101101011010101100000…
…000110010010011111000
3102001100221002121020111120
4231122230000302103320
5402113333212102440
610345440554225240
7441326041336032
oct55325400622370
912040832536446
103121032144120
11aa3693309a70
12424a63425220
131984097ca327
14ab0b7356c52
15562ba129dd0
hex2d6ac0324f8

3121032144120 has 128 divisors (see below), whose sum is σ = 10249149335040. Its totient is φ = 754031459840.

The previous prime is 3121032144047. The next prime is 3121032144137. The reversal of 3121032144120 is 214412301213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 3648084 + ... + 4421603.

It is an arithmetic number, because the mean of its divisors is an integer number (80071479180).

Almost surely, 23121032144120 is an apocalyptic number.

3121032144120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3121032144120 is an abundant number, since it is smaller than the sum of its proper divisors (7128117190920).

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

3121032144120 is a wasteful number, since it uses less digits than its factorization.

3121032144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8070005 (or 8070001 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 3121032144120 its reverse (214412301213), we get a palindrome (3335444445333).

The spelling of 3121032144120 in words is "three trillion, one hundred twenty-one billion, thirty-two million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 293 330 440 586 660 879 1172 1320 1465 1758 2344 2930 3223 3516 4395 5860 6446 7032 8790 9669 11720 12892 16115 17580 19338 25784 32230 35160 38676 48345 64460 77352 96690 128920 193380 386760 8069687 16139374 24209061 32278748 40348435 48418122 64557496 80696870 88766557 96836244 121045305 161393740 177533114 193672488 242090610 266299671 322787480 355066228 443832785 484181220 532599342 710132456 887665570 968362440 1065198684 1331498355 1775331140 2130397368 2364418291 2662996710 3550662280 4728836582 5325993420 7093254873 9457673164 10651986840 11822091455 14186509746 18915346328 23644182910 26008601201 28373019492 35466274365 47288365820 52017202402 56746038984 70932548730 78025803603 94576731640 104034404804 130043006005 141865097460 156051607206 208068809608 260086012010 283730194920 312103214412 390129018015 520172024020 624206428824 780258036030 1040344048040 1560516072060 3121032144120