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312000134021300 = 225231560091796947
BaseRepresentation
bin100011011110000110011000…
…1001010001000000010110100
31111220200220212210012200022102
41012330030301022020002310
5311343302233302140200
63023322514410521232
7122501160113612204
oct10674146112100264
91456626783180272
10312000134021300
119045a57191252a
122abab871736218
13105126427ba63a
145708c5c140404
152610c8d4046d5
hex11bc3312880b4

312000134021300 has 72 divisors (see below), whose sum is σ = 698893167141120. Its totient is φ = 120772021881600.

The previous prime is 312000134021299. The next prime is 312000134021339. The reversal of 312000134021300 is 3120431000213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172729427 + ... + 174526373.

Almost surely, 2312000134021300 is an apocalyptic number.

It is an amenable number.

312000134021300 is an abundant number, since it is smaller than the sum of its proper divisors (386893033119820).

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

312000134021300 is a wasteful number, since it uses less digits than its factorization.

312000134021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853001 (or 1852994 counting only the distinct ones).

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

Adding to 312000134021300 its reverse (3120431000213), we get a palindrome (315120565021513).

The spelling of 312000134021300 in words is "three hundred twelve trillion, one hundred thirty-four million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 56009 112018 224036 280045 560090 1120180 1400225 1736279 1796947 2800450 3472558 3593894 5600900 6945116 7187788 8681395 8984735 17362790 17969470 34725580 35938940 43406975 44923675 55705357 86813950 89847350 111410714 173627900 179694700 222821428 278526785 557053570 1114107140 1392633925 2785267850 5570535700 100645204523 201290409046 402580818092 503226022615 1006452045230 2012904090460 2516130113075 3120001340213 5032260226150 6240002680426 10064520452300 12480005360852 15600006701065 31200013402130 62400026804260 78000033505325 156000067010650 312000134021300