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103013202012 = 223789103313339
BaseRepresentation
bin101111111110000010…
…0001011100001011100
3100211220011111212100020
41133330010023201130
53141432334431022
6115153522232140
710304522525010
oct1377404134134
9324804455306
10103013202012
113a7622a33a6
1217b6aab5650
139938b67106
144db3302540
152a2da3a35c
hex17fc10b85c

103013202012 has 96 divisors (see below), whose sum is σ = 278078169600. Its totient is φ = 29071291392.

The previous prime is 103013202011. The next prime is 103013202029. The reversal of 103013202012 is 210202310301.

It is a super-2 number, since 2×1030132020122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103013201982 and 103013202000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103013202011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7716039 + ... + 7729377.

It is an arithmetic number, because the mean of its divisors is an integer number (2896647600).

Almost surely, 2103013202012 is an apocalyptic number.

103013202012 is a gapful number since it is divisible by the number (12) 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 103013202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139039084800).

103013202012 is an abundant number, since it is smaller than the sum of its proper divisors (175064967588).

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

103013202012 is a wasteful number, since it uses less digits than its factorization.

103013202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14475 (or 14473 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103013202012 its reverse (210202310301), we get a palindrome (313215512313).

The spelling of 103013202012 in words is "one hundred three billion, thirteen million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1033 1068 1246 1869 2066 2492 3099 3738 4132 6198 7231 7476 12396 13339 14462 21693 26678 28924 40017 43386 53356 80034 86772 91937 93373 160068 183874 186746 275811 280119 367748 373492 551622 560238 643559 1103244 1120476 1187171 1287118 1930677 2374342 2574236 3561513 3861354 4748684 7123026 7722708 8310197 13779187 14246052 16620394 24930591 27558374 33240788 41337561 49861182 55116748 82675122 96454309 99722364 165350244 192908618 289362927 385817236 578725854 1157451708 1226347643 2452695286 3679042929 4905390572 7358085858 8584433501 14716171716 17168867002 25753300503 34337734004 51506601006 103013202012