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312132143004420 = 223529223804422821
BaseRepresentation
bin100011011111000011110110…
…1100000011011101100000100
31111221011112121201101211200110
41012332013231200123230010
5311402433112102120140
63023503305453313020
7122513542323504204
oct10676075540335404
91457145551354613
10312132143004420
1190500553504392
122b011373195770
1310521c1c96327b
1457113c2362404
152614417802380
hex11be1ed81bb04

312132143004420 has 96 divisors (see below), whose sum is σ = 908161189125120. Its totient is φ = 80004675985920.

The previous prime is 312132143004323. The next prime is 312132143004421. The reversal of 312132143004420 is 24400341231213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (312132143004421) 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, 401823391 + ... + 402599430.

It is an arithmetic number, because the mean of its divisors is an integer number (9460012386720).

Almost surely, 2312132143004420 is an apocalyptic number.

312132143004420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312132143004420 is an abundant number, since it is smaller than the sum of its proper divisors (596029046120700).

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

312132143004420 is a wasteful number, since it uses less digits than its factorization.

312132143004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804423085 (or 804423083 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 312132143004420 its reverse (24400341231213), we get a palindrome (336532484235633).

The spelling of 312132143004420 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred forty-three million, four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 223 290 348 435 446 580 669 870 892 1115 1338 1740 2230 2676 3345 4460 6467 6690 12934 13380 19401 25868 32335 38802 64670 77604 97005 129340 194010 388020 804422821 1608845642 2413268463 3217691284 4022114105 4826536926 8044228210 9653073852 12066342315 16088456420 23328261809 24132684630 46656523618 48265369260 69984785427 93313047236 116641309045 139969570854 179386289083 233282618090 279939141708 349923927135 358772578166 466565236180 538158867249 699847854270 717545156332 896931445415 1076317734498 1399695708540 1793862890830 2152635468996 2690794336245 3587725781660 5202202383407 5381588672490 10404404766814 10763177344980 15606607150221 20808809533628 26011011917035 31213214300442 52022023834070 62426428600884 78033035751105 104044047668140 156066071502210 312132143004420