Search a number
-
+
31201312040304 = 2437313780959937
BaseRepresentation
bin1110001100000100111110…
…00111101110010101110000
311002110211001002020102101220
413012002133013232111300
513042200241340242204
6150205403533225040
76400135412300520
oct706023707562560
9132424032212356
1031201312040304
119a3a44725947a
1235bb034332180
13145436a7b9363
1479c219c4b680
1539193ec821d9
hex1c609f1ee570

31201312040304 has 160 divisors (see below), whose sum is σ = 97659706331136. Its totient is φ = 8393926164480.

The previous prime is 31201312040291. The next prime is 31201312040323. The reversal of 31201312040304 is 40304021310213.

It is a happy number.

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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40094577 + ... + 40865360.

Almost surely, 231201312040304 is an apocalyptic number.

It is an amenable number.

31201312040304 is an abundant number, since it is smaller than the sum of its proper divisors (66458394290832).

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

31201312040304 is a wasteful number, since it uses less digits than its factorization.

31201312040304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80960023 (or 80960017 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31201312040304 its reverse (40304021310213), we get a palindrome (71505333350517).

The spelling of 31201312040304 in words is "thirty-one trillion, two hundred one billion, three hundred twelve million, forty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 37 42 48 56 62 74 84 93 111 112 124 148 168 186 217 222 248 259 296 336 372 434 444 496 518 592 651 744 777 868 888 1036 1147 1302 1488 1554 1736 1776 2072 2294 2604 3108 3441 3472 4144 4588 5208 6216 6882 8029 9176 10416 12432 13764 16058 18352 24087 27528 32116 48174 55056 64232 96348 128464 192696 385392 80959937 161919874 242879811 323839748 485759622 566719559 647679496 971519244 1133439118 1295358992 1700158677 1943038488 2266878236 2509758047 2995517669 3400317354 3886076976 4533756472 5019516094 5991035338 6800634708 7529274141 8986553007 9067512944 10039032188 11982070676 13601269416 15058548282 17568306329 17973106014 20078064376 20968623683 23964141352 27202538832 30117096564 35136612658 35946212028 40156128752 41937247366 47928282704 52704918987 60234193128 62905871049 70273225316 71892424056 83874494732 92861047739 105409837974 120468386256 125811742098 140546450632 143784848112 167748989464 185722095478 210819675948 251623484196 278583143217 281092901264 335497978928 371444190956 421639351896 503246968392 557166286434 650027334173 742888381912 843278703792 1006493936784 1114332572868 1300054668346 1485776763824 1950082002519 2228665145736 2600109336692 3900164005038 4457330291472 5200218673384 7800328010076 10400437346768 15600656020152 31201312040304