Search a number
-
+
31231122303312 = 243437651299681
BaseRepresentation
bin1110001100111100011111…
…11100110110100101010000
311002120122222121111200120000
413012132033330312211100
513043142314302201222
6150231213550450000
76402242216325351
oct706361774664520
9132518877450500
1031231122303312
119a5105438a278
123604973803900
13145710b77b639
1479d846dc5d28
153925d6dcc9ac
hex1c678ff36950

31231122303312 has 100 divisors (see below), whose sum is σ = 92834954072916. Its totient is φ = 10129012623360.

The previous prime is 31231122303281. The next prime is 31231122303343. The reversal of 31231122303312 is 21330322113213.

31231122303312 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 112 + 230 + 3 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (31231122303281) and next prime (31231122303343).

It can be written as a sum of positive squares in 2 ways, for example, as 17865195772176 + 13365926531136 = 4226724^2 + 3655944^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 325601889 + ... + 325697792.

Almost surely, 231231122303312 is an apocalyptic number.

It is an amenable number.

31231122303312 is an abundant number, since it is smaller than the sum of its proper divisors (61603831769604).

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

31231122303312 is a wasteful number, since it uses less digits than its factorization.

31231122303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651299738 (or 651299723 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31231122303312 its reverse (21330322113213), we get a palindrome (52561444416525).

The spelling of 31231122303312 in words is "thirty-one trillion, two hundred thirty-one billion, one hundred twenty-two million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 592 648 666 888 999 1296 1332 1776 1998 2664 2997 3996 5328 5994 7992 11988 15984 23976 47952 651299681 1302599362 1953899043 2605198724 3907798086 5210397448 5861697129 7815596172 10420794896 11723394258 15631192344 17585091387 23446788516 24098088197 31262384688 35170182774 46893577032 48196176394 52755274161 70340365548 72294264591 93787154064 96392352788 105510548322 140680731096 144588529182 192784705576 211021096644 216882793773 281361462192 289177058364 385569411152 422042193288 433765587546 578354116728 650648381319 844084386576 867531175092 1156708233456 1301296762638 1735062350184 1951945143957 2602593525276 3470124700368 3903890287914 5205187050552 7807780575828 10410374101104 15615561151656 31231122303312