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10013201240 = 2357611075479
BaseRepresentation
bin10010101001101010…
…10101001101011000
3221211211121022211012
421110311111031120
5131001334414430
64333333353052
7503064543350
oct112465251530
927754538735
1010013201240
114279211329
121b35498788
13c37660163
146adbdbb60
153d9119695
hex254d55358

10013201240 has 128 divisors (see below), whose sum is σ = 26419737600. Its totient is φ = 3344647680.

The previous prime is 10013201239. The next prime is 10013201249. The reversal of 10013201240 is 4210231001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013201249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1824821 + ... + 1830299.

It is an arithmetic number, because the mean of its divisors is an integer number (206404200).

Almost surely, 210013201240 is an apocalyptic number.

10013201240 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 10013201240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13209868800).

10013201240 is an abundant number, since it is smaller than the sum of its proper divisors (16406536360).

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

10013201240 is a wasteful number, since it uses less digits than its factorization.

10013201240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5661 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10013201240 its reverse (4210231001), we get a palindrome (14223432241).

The spelling of 10013201240 in words is "ten billion, thirteen million, two hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 107 122 140 214 244 280 305 427 428 488 535 610 749 854 856 1070 1220 1498 1708 2135 2140 2440 2996 3416 3745 4270 4280 5479 5992 6527 7490 8540 10958 13054 14980 17080 21916 26108 27395 29960 32635 38353 43832 45689 52216 54790 65270 76706 91378 109580 130540 153412 182756 191765 219160 228445 261080 306824 334219 365512 383530 456890 586253 668438 767060 913780 1172506 1336876 1534120 1671095 1827560 2339533 2345012 2673752 2931265 3342190 4103771 4679066 4690024 5862530 6684380 8207542 9358132 11697665 11725060 13368760 16415084 18716264 20518855 23395330 23450120 32830168 35761433 41037710 46790660 71522866 82075420 93581320 143045732 164150840 178807165 250330031 286091464 357614330 500660062 715228660 1001320124 1251650155 1430457320 2002640248 2503300310 5006600620 10013201240