Search a number
-
+
103210712264560 = 24553233104472743
BaseRepresentation
bin10111011101111010011101…
…110101110110111101110000
3111112102211212222212220122111
4113131322131311312331300
5102012001014314431220
61003302202513215104
730511504444120345
oct2735723565667560
9445384788786574
10103210712264560
112a982465414a5a
12b6aab16861494
1345789613c70a4
141b6b5d479a7cc
15bdeb32b3c15a
hex5dde9dd76f70

103210712264560 has 80 divisors (see below), whose sum is σ = 245541872332224. Its totient is φ = 40331493103616.

The previous prime is 103210712264509. The next prime is 103210712264567. The reversal of 103210712264560 is 65462217012301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1032107122645602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103210712264567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51248452 + ... + 53224291.

Almost surely, 2103210712264560 is an apocalyptic number.

103210712264560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103210712264560 is an abundant number, since it is smaller than the sum of its proper divisors (142331160067664).

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

103210712264560 is a wasteful number, since it uses less digits than its factorization.

103210712264560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104473042 (or 104473036 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

Adding to 103210712264560 its reverse (65462217012301), we get a palindrome (168672929276861).

The spelling of 103210712264560 in words is "one hundred three trillion, two hundred ten billion, seven hundred twelve million, two hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 233 265 424 466 530 848 932 1060 1165 1864 2120 2330 3728 4240 4660 9320 12349 18640 24698 49396 61745 98792 123490 197584 246980 493960 987920 104472743 208945486 417890972 522363715 835781944 1044727430 1671563888 2089454860 4178909720 5537055379 8357819440 11074110758 22148221516 24342149119 27685276895 44296443032 48684298238 55370553790 88592886064 97368596476 110741107580 121710745595 194737192952 221482215160 243421491190 389474385904 442964430320 486842982380 973685964760 1290133903307 1947371929520 2580267806614 5160535613228 6450669516535 10321071226456 12901339033070 20642142452912 25802678066140 51605356132280 103210712264560