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10310122240 = 28511977549
BaseRepresentation
bin10011001101000011…
…11111101100000000
3222121112022110212021
421212201333230000
5132103342402430
64423021411224
7513331410265
oct114641775400
928545273767
1010310122240
114410882490
121bb8a09b14
13c84020662
146db40d26c
1540521b07a
hex26687fb00

10310122240 has 144 divisors (see below), whose sum is σ = 27222400800. Its totient is φ = 3709992960.

The previous prime is 10310122177. The next prime is 10310122271. The reversal of 10310122240 is 4222101301.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1361986 + ... + 1369534.

It is an arithmetic number, because the mean of its divisors is an integer number (189044450).

Almost surely, 210310122240 is an apocalyptic number.

10310122240 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 10310122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13611200400).

10310122240 is an abundant number, since it is smaller than the sum of its proper divisors (16912278560).

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

10310122240 is an equidigital number, since it uses as much as digits as its factorization.

10310122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7678 (or 7664 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10310122240 its reverse (4222101301), we get a palindrome (14532223541).

The spelling of 10310122240 in words is "ten billion, three hundred ten million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 97 110 128 160 176 194 220 256 320 352 388 440 485 640 704 776 880 970 1067 1280 1408 1552 1760 1940 2134 2816 3104 3520 3880 4268 5335 6208 7040 7549 7760 8536 10670 12416 14080 15098 15520 17072 21340 24832 30196 31040 34144 37745 42680 60392 62080 68288 75490 83039 85360 120784 124160 136576 150980 166078 170720 241568 273152 301960 332156 341440 415195 483136 603920 664312 682880 732253 830390 966272 1207840 1328624 1365760 1464506 1660780 1932544 2415680 2657248 2929012 3321560 3661265 4831360 5314496 5858024 6643120 7322530 8054783 9662720 10628992 11716048 13286240 14645060 16109566 21257984 23432096 26572480 29290120 32219132 40273915 46864192 53144960 58580240 64438264 80547830 93728384 106289920 117160480 128876528 161095660 187456768 234320960 257753056 322191320 468641920 515506112 644382640 937283840 1031012224 1288765280 2062024448 2577530560 5155061120 10310122240