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103214520520 = 23561831274013
BaseRepresentation
bin110000000100000010…
…0001001100011001000
3100212102012022220102021
41200020010021203020
53142340404124040
6115225513214224
710312515643306
oct1401004114310
9325365286367
10103214520520
113a8559a6a31
1218006401374
13996b7935a7
144dd1d49276
152a4155524a
hex18081098c8

103214520520 has 128 divisors (see below), whose sum is σ = 240824586240. Its totient is φ = 39793904640.

The previous prime is 103214520503. The next prime is 103214520523. The reversal of 103214520520 is 25025412301.

It is not an unprimeable number, because it can be changed into a prime (103214520523) 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, 25718034 + ... + 25722046.

It is an arithmetic number, because the mean of its divisors is an integer number (1881442080).

Almost surely, 2103214520520 is an apocalyptic number.

103214520520 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 103214520520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120412293120).

103214520520 is an abundant number, since it is smaller than the sum of its proper divisors (137610065720).

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

103214520520 is a wasteful number, since it uses less digits than its factorization.

103214520520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 103214520520 its reverse (25025412301), we get a palindrome (128239932821).

The spelling of 103214520520 in words is "one hundred three billion, two hundred fourteen million, five hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 83 122 127 166 244 254 305 332 415 488 508 610 635 664 830 1016 1220 1270 1660 2440 2540 3320 4013 5063 5080 7747 8026 10126 10541 15494 16052 20065 20252 21082 25315 30988 32104 38735 40130 40504 42164 50630 52705 61976 77470 80260 84328 101260 105410 154940 160520 202520 210820 244793 309880 333079 421640 489586 509651 643001 666158 979172 1019302 1223965 1286002 1332316 1665395 1958344 2038604 2447930 2548255 2572004 2664632 3215005 3330790 4077208 4895860 5096510 5144008 6430010 6661580 9791720 10193020 12860020 13323160 20317819 20386040 25720040 31088711 40635638 42301033 62177422 81271276 84602066 101589095 124354844 155443555 162542552 169204132 203178190 211505165 248709688 310887110 338408264 406356380 423010330 621774220 812712760 846020660 1243548440 1692041320 2580363013 5160726026 10321452052 12901815065 20642904104 25803630130 51607260260 103214520520