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103214120360 = 23513261250301
BaseRepresentation
bin110000000100000001…
…0100111110110101000
3100212102011120120111112
41200020002213312220
53142340303322420
6115225500445452
710312512355541
oct1401002476650
9325364516445
10103214120360
113a85575331a
1218006249888
13996b683400
144dd1c834c8
152a414c68c5
hex18080a7da8

103214120360 has 96 divisors (see below), whose sum is σ = 255593384280. Its totient is φ = 37484928000.

The previous prime is 103214120357. The next prime is 103214120441. The reversal of 103214120360 is 63021412301.

It can be written as a sum of positive squares in 12 ways, for example, as 3361912324 + 99852208036 = 57982^2 + 315994^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287210 + ... + 537510.

Almost surely, 2103214120360 is an apocalyptic number.

103214120360 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 103214120360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127796692140).

103214120360 is an abundant number, since it is smaller than the sum of its proper divisors (152379263920).

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

103214120360 is a wasteful number, since it uses less digits than its factorization.

103214120360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250399 (or 250382 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 103214120360 its reverse (63021412301), we get a palindrome (166235532661).

It can be divided in two parts, 1032141 and 20360, that added together give a palindrome (1052501).

The spelling of 103214120360 in words is "one hundred three billion, two hundred fourteen million, one hundred twenty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 169 244 260 305 338 488 520 610 676 793 845 1220 1352 1586 1690 2440 3172 3380 3965 6344 6760 7930 10309 15860 20618 31720 41236 51545 82472 103090 206180 250301 412360 500602 1001204 1251505 2002408 2503010 3253913 5006020 6507826 10012040 13015652 15268361 16269565 26031304 30536722 32539130 42300869 61073444 65078260 76341805 84601738 122146888 130156520 152683610 169203476 198488693 211504345 305367220 338406952 396977386 423008690 610734440 793954772 846017380 992443465 1587909544 1692034760 1984886930 2580353009 3969773860 5160706018 7939547720 10321412036 12901765045 20642824072 25803530090 51607060180 103214120360