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3131020133120 = 28511376010097
BaseRepresentation
bin101101100011111111010…
…101111100001100000000
3102002022201011202122122002
4231203333111330030000
5402244312123224440
610354212031403132
7442131412004345
oct55437725741400
912068634678562
103131020133120
11aa794926aa30
124269903834a8
1319933bb707a9
14ab783a707cc
15566a1e14115
hex2d8ff57c300

3131020133120 has 144 divisors (see below), whose sum is σ = 8402693973408. Its totient is φ = 1107780894720.

The previous prime is 3131020133093. The next prime is 3131020133149. The reversal of 3131020133120 is 213310201313.

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

It is a junction number, because it is equal to n+sod(n) for n = 3131020133092 and 3131020133101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2484089 + ... + 3526008.

It is an arithmetic number, because the mean of its divisors is an integer number (58352041482).

Almost surely, 23131020133120 is an apocalyptic number.

It is an amenable number.

3131020133120 is an abundant number, since it is smaller than the sum of its proper divisors (5271673840288).

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

3131020133120 is a wasteful number, since it uses less digits than its factorization.

3131020133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6010166 (or 6010152 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 3131020133120 its reverse (213310201313), we get a palindrome (3344330334433).

The spelling of 3131020133120 in words is "three trillion, one hundred thirty-one billion, twenty million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 64 74 80 88 110 128 148 160 176 185 220 256 296 320 352 370 407 440 592 640 704 740 814 880 1184 1280 1408 1480 1628 1760 2035 2368 2816 2960 3256 3520 4070 4736 5920 6512 7040 8140 9472 11840 13024 14080 16280 23680 26048 32560 47360 52096 65120 104192 130240 260480 520960 6010097 12020194 24040388 30050485 48080776 60100970 66111067 96161552 120201940 132222134 192323104 222373589 240403880 264444268 330555335 384646208 444747178 480807760 528888536 661110670 769292416 889494356 961615520 1057777072 1111867945 1322221340 1538584832 1778988712 1923231040 2115554144 2223735890 2446109479 2644442680 3557977424 3846462080 4231108288 4447471780 4892218958 5288885360 7115954848 7692924160 8462216576 8894943560 9784437916 10577770720 12230547395 14231909696 16924433152 17789887120 19568875832 21155541440 24461094790 28463819392 35579774240 39137751664 42311082880 48922189580 56927638784 71159548480 78275503328 84622165760 97844379160 142319096960 156551006656 195688758320 284638193920 313102013312 391377516640 626204026624 782755033280 1565510066560 3131020133120