Search a number
-
+
312000122402320 = 24511457775810927
BaseRepresentation
bin100011011110000110011000…
…0011101110011011000010000
31111220200220211222100101001211
41012330030300131303120100
5311343302222313333240
63023322513313505504
7122501156613060502
oct10674146035633020
91456626758311054
10312000122402320
119045a5662a6a70
122abab869872294
131051264027cbc1
145708c5a797d72
152610c8c3abbea
hex11bc330773610

312000122402320 has 80 divisors (see below), whose sum is σ = 793077376013568. Its totient is φ = 113206330321920.

The previous prime is 312000122402261. The next prime is 312000122402327. The reversal of 312000122402320 is 23204221000213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 312000122402291 and 312000122402300.

It is not an unprimeable number, because it can be changed into a prime (312000122402327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387503304 + ... + 388307623.

Almost surely, 2312000122402320 is an apocalyptic number.

It is an amenable number.

312000122402320 is an abundant number, since it is smaller than the sum of its proper divisors (481077253611248).

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

312000122402320 is a wasteful number, since it uses less digits than its factorization.

312000122402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775811408 (or 775811402 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 312000122402320 its reverse (23204221000213), we get a palindrome (335204343402533).

The spelling of 312000122402320 in words is "three hundred twelve trillion, one hundred twenty-two million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 457 880 914 1828 2285 3656 4570 5027 7312 9140 10054 18280 20108 25135 36560 40216 50270 80432 100540 201080 402160 775810927 1551621854 3103243708 3879054635 6206487416 7758109270 8533920197 12412974832 15516218540 17067840394 31032437080 34135680788 42669600985 62064874160 68271361576 85339201970 136542723152 170678403940 341356807880 354545593639 682713615760 709091187278 1418182374556 1772727968195 2836364749112 3545455936390 3900001530029 5672729498224 7090911872780 7800003060058 14181823745560 15600006120116 19500007650145 28363647491120 31200012240232 39000015300290 62400024480464 78000030600580 156000061201160 312000122402320