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10032205312 = 29891371607
BaseRepresentation
bin10010101011111011…
…10100111000000000
3221220011100211111201
421111331310320000
5131021221032222
64335252550544
7503415223663
oct112575647000
927804324451
1010032205312
114288a11378
121b3b922454
13c3b58517c
146b25476da
153dab20427
hex255f74e00

10032205312 has 80 divisors (see below), whose sum is σ = 20430701280. Its totient is φ = 4920475648.

The previous prime is 10032205307. The next prime is 10032205327. The reversal of 10032205312 is 21350223001.

It is a self number, because there is not a number n which added to its sum of digits gives 10032205312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6242013 + ... + 6243619.

It is an arithmetic number, because the mean of its divisors is an integer number (255383766).

Almost surely, 210032205312 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 10032205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10215350640).

10032205312 is an abundant number, since it is smaller than the sum of its proper divisors (10398495968).

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

10032205312 is an equidigital number, since it uses as much as digits as its factorization.

10032205312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 10032205312 its reverse (21350223001), we get a palindrome (31382428313).

The spelling of 10032205312 in words is "ten billion, thirty-two million, two hundred five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 89 128 137 178 256 274 356 512 548 712 1096 1424 1607 2192 2848 3214 4384 5696 6428 8768 11392 12193 12856 17536 22784 24386 25712 35072 45568 48772 51424 70144 97544 102848 143023 195088 205696 220159 286046 390176 411392 440318 572092 780352 822784 880636 1144184 1560704 1761272 2288368 3121408 3522544 4576736 6242816 7045088 9153472 14090176 18306944 19594151 28180352 36613888 39188302 56360704 73227776 78376604 112721408 156753208 313506416 627012832 1254025664 2508051328 5016102656 10032205312