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1312023000992 = 251123292192697
BaseRepresentation
bin10011000101111010101…
…010100011011110100000
311122102120010202012000012
4103011322222203132200
5132444010342012432
62442422434144052
7163535103333404
oct23057252433640
94572503665005
101312023000992
11466475863850
12192341a22028
1396952c53302
1447706273104
15241de6dacb2
hex1317aaa37a0

1312023000992 has 144 divisors (see below), whose sum is σ = 3045288197952. Its totient is φ = 550771415040.

The previous prime is 1312023000991. The next prime is 1312023001019. The reversal of 1312023000992 is 2990003202131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1312023000991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6712388 + ... + 6905084.

It is an arithmetic number, because the mean of its divisors is an integer number (21147834708).

Almost surely, 21312023000992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312023000992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522644098976).

1312023000992 is an abundant number, since it is smaller than the sum of its proper divisors (1733265196960).

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

1312023000992 is a wasteful number, since it uses less digits than its factorization.

1312023000992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192799 (or 192762 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The spelling of 1312023000992 in words is "one trillion, three hundred twelve billion, twenty-three million, nine hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 23 29 32 44 46 58 88 92 116 176 184 232 253 319 352 368 464 506 638 667 736 841 928 1012 1276 1334 1682 2024 2552 2668 3364 4048 5104 5336 6728 7337 8096 9251 10208 10672 13456 14674 18502 19343 21344 26912 29348 37004 38686 58696 74008 77372 117392 148016 154744 192697 212773 234784 296032 309488 385394 425546 618976 770788 851092 1541576 1702184 2119667 3083152 3404368 4239334 4432031 5588213 6166304 6808736 8478668 8864062 11176426 16957336 17728124 22352852 33914672 35456248 44705704 48752341 61470343 67829344 70912496 89411408 97504682 122940686 128528899 141824992 162058177 178822816 195009364 245881372 257057798 324116354 390018728 491762744 514115596 648232708 780037456 983525488 1028231192 1296465416 1413817889 1560074912 1782639947 1967050976 2056462384 2592930832 2827635778 3565279894 3727338071 4112924768 5185861664 5655271556 7130559788 7454676142 11310543112 14261119576 14909352284 22621086224 28522239152 29818704568 41000718781 45242172448 57044478304 59637409136 82001437562 119274818272 164002875124 328005750248 656011500496 1312023000992