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10201112320 = 28574632459
BaseRepresentation
bin10011000000000100…
…01001111100000000
3222022221012012100211
421200002021330000
5131342441043240
64404125123504
7510536011150
oct114002117400
928287165324
1010201112320
114365297743
121b883b9594
13c67573b49
146cab54760
153ea886bea
hex260089f00

10201112320 has 144 divisors (see below), whose sum is σ = 27997240320. Its totient is φ = 3488550912.

The previous prime is 10201112263. The next prime is 10201112377. The reversal of 10201112320 is 2321110201.

It is an interprime number because it is at equal distance from previous prime (10201112263) and next prime (10201112377).

It is a self number, because there is not a number n which added to its sum of digits gives 10201112320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4147251 + ... + 4149709.

It is an arithmetic number, because the mean of its divisors is an integer number (194425280).

Almost surely, 210201112320 is an apocalyptic number.

10201112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13998620160).

10201112320 is an abundant number, since it is smaller than the sum of its proper divisors (17796128000).

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

10201112320 is an equidigital number, since it uses as much as digits as its factorization.

10201112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10201112320 its reverse (2321110201), we get a palindrome (12522222521).

The spelling of 10201112320 in words is "ten billion, two hundred one million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 463 560 640 896 926 1120 1280 1792 1852 2240 2315 2459 3241 3704 4480 4630 4918 6482 7408 8960 9260 9836 12295 12964 14816 16205 17213 18520 19672 24590 25928 29632 32410 34426 37040 39344 49180 51856 59264 64820 68852 74080 78688 86065 98360 103712 118528 129640 137704 148160 157376 172130 196720 207424 259280 275408 296320 314752 344260 393440 414848 518560 550816 592640 629504 688520 786880 829696 1037120 1101632 1138517 1377040 1573760 2074240 2203264 2277034 2754080 3147520 4148480 4406528 4554068 5508160 5692585 7969619 9108136 11016320 11385170 15939238 18216272 22032640 22770340 31878476 36432544 39848095 45540680 63756952 72865088 79696190 91081360 127513904 145730176 159392380 182162720 255027808 291460352 318784760 364325440 510055616 637569520 728650880 1020111232 1275139040 1457301760 2040222464 2550278080 5100556160 10201112320