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103024012520 = 235112131637381
BaseRepresentation
bin101111111110010110…
…1011010110011101000
3100211220220212002120102
41133330231122303220
53141443121400040
6115154550044532
710305013441352
oct1377455326350
9324826762512
10103024012520
113a768407500
1217b72649748
13993b180870
144db49180d2
152a2e973515
hex17fcb5ace8

103024012520 has 96 divisors (see below), whose sum is σ = 274392475560. Its totient is φ = 34581465600.

The previous prime is 103024012499. The next prime is 103024012523. The reversal of 103024012520 is 25210420301.

It can be written as a sum of positive squares in 4 ways, for example, as 39003880036 + 64020132484 = 197494^2 + 253022^2 .

It is a super-2 number, since 2×1030240125202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103024012492 and 103024012501.

It is not an unprimeable number, because it can be changed into a prime (103024012523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755771 + ... + 881610.

Almost surely, 2103024012520 is an apocalyptic number.

103024012520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103024012520 is an abundant number, since it is smaller than the sum of its proper divisors (171368463040).

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

103024012520 is a wasteful number, since it uses less digits than its factorization.

103024012520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637427 (or 1637412 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 103024012520 its reverse (25210420301), we get a palindrome (128234432821).

The spelling of 103024012520 in words is "one hundred three billion, twenty-four million, twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 220 242 260 286 440 484 520 572 605 715 968 1144 1210 1430 1573 2420 2860 3146 4840 5720 6292 7865 12584 15730 31460 62920 1637381 3274762 6549524 8186905 13099048 16373810 18011191 21285953 32747620 36022382 42571906 65495240 72044764 85143812 90055955 106429765 144089528 170287624 180111910 198123101 212859530 234145483 360223820 396246202 425719060 468290966 720447640 792492404 851438120 936581932 990615505 1170727415 1584984808 1873163864 1981231010 2341454830 2575600313 3962462020 4682909660 5151200626 7924924040 9365819320 10302401252 12878001565 20604802504 25756003130 51512006260 103024012520