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323031140120 = 235131019836257
BaseRepresentation
bin1001011001101100010…
…10000000011100011000
31010212210121002011112202
410230312022000130120
520243031432440440
6404222022225332
732224004246423
oct4546612003430
91125717064482
10323031140120
11114aa67257a7
1252732585248
13246004a1980
14118c5c189ba
1586095c0615
hex4b36280718

323031140120 has 128 divisors (see below), whose sum is σ = 791409709440. Its totient is φ = 117953126400.

The previous prime is 323031140093. The next prime is 323031140137. The reversal of 323031140120 is 21041130323.

It is a super-2 number, since 2×3230311401202 (a number of 24 digits) contains 22 as substring.

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 = 323031140092 and 323031140101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51624032 + ... + 51630288.

It is an arithmetic number, because the mean of its divisors is an integer number (6182888355).

Almost surely, 2323031140120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323031140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395704854720).

323031140120 is an abundant number, since it is smaller than the sum of its proper divisors (468378569320).

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

323031140120 is a wasteful number, since it uses less digits than its factorization.

323031140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7365 (or 7361 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 323031140120 its reverse (21041130323), we get a palindrome (344072270443).

The spelling of 323031140120 in words is "three hundred twenty-three billion, thirty-one million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 202 260 404 505 520 808 983 1010 1313 1966 2020 2626 3932 4040 4915 5252 6257 6565 7864 9830 10504 12514 12779 13130 19660 25028 25558 26260 31285 39320 50056 51116 52520 62570 63895 81341 99283 102232 125140 127790 162682 198566 250280 255580 325364 397132 406705 496415 511160 631957 650728 794264 813410 992830 1263914 1290679 1626820 1985660 2527828 2581358 3159785 3253640 3971320 5055656 5162716 6150631 6319570 6453395 8215441 10325432 12301262 12639140 12906790 16430882 24602524 25278280 25813580 30753155 32861764 41077205 49205048 51627160 61506310 65723528 79958203 82154410 123012620 159916406 164308820 246025240 319832812 328617640 399791015 621213731 639665624 799582030 1242427462 1599164060 2484854924 3106068655 3198328120 4969709848 6212137310 8075778503 12424274620 16151557006 24848549240 32303114012 40378892515 64606228024 80757785030 161515570060 323031140120