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1310424314232 = 2331123316961751
BaseRepresentation
bin10011000100011011011…
…000000011000101111000
311122021102201112111001110
4103010123120003011320
5132432222111023412
62442000044520320
7163450351613145
oct23043330030570
94567381474043
101310424314232
114658253a9820
12191b765500a0
139675998a207
14475d3c013cc
152414919ad3c
hex1311b603178

1310424314232 has 128 divisors (see below), whose sum is σ = 3849570385920. Its totient is φ = 367580400000.

The previous prime is 1310424314203. The next prime is 1310424314321. The reversal of 1310424314232 is 2324134240131.

It is a self number, because there is not a number n which added to its sum of digits gives 1310424314232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3292644 + ... + 3669107.

It is an arithmetic number, because the mean of its divisors is an integer number (30074768640).

Almost surely, 21310424314232 is an apocalyptic number.

1310424314232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1310424314232 is an abundant number, since it is smaller than the sum of its proper divisors (2539146071688).

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

1310424314232 is a wasteful number, since it uses less digits than its factorization.

1310424314232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961825 (or 6961821 counting only the distinct ones).

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

Adding to 1310424314232 its reverse (2324134240131), we get a palindrome (3634558554363).

The spelling of 1310424314232 in words is "one trillion, three hundred ten billion, four hundred twenty-four million, three hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 31 33 44 46 62 66 69 88 92 93 124 132 138 184 186 248 253 264 276 341 372 506 552 682 713 744 759 1012 1023 1364 1426 1518 2024 2046 2139 2728 2852 3036 4092 4278 5704 6072 7843 8184 8556 15686 17112 23529 31372 47058 62744 94116 188232 6961751 13923502 20885253 27847004 41770506 55694008 76579261 83541012 153158522 160120273 167082024 215814281 229737783 306317044 320240546 431628562 459475566 480360819 612634088 640481092 647442843 863257124 918951132 960721638 1280962184 1294885686 1726514248 1761323003 1837902264 1921443276 2373957091 2589771372 3522646006 3842886552 4747914182 4963728463 5179542744 5283969009 7045292012 7121871273 9495828364 9927456926 10567938018 14090584024 14243742546 14891185389 18991656728 19854913852 21135876036 28487485092 29782370778 39709827704 42271752072 54601013093 56974970184 59564741556 109202026186 119129483112 163803039279 218404052372 327606078558 436808104744 655212157116 1310424314232