Search a number
-
+
103100402112 = 26317108729059
BaseRepresentation
bin110000000000101000…
…0110100100111000000
3100212010020121002101120
41200001100310213000
53142122200331422
6115210315232240
710306631646501
oct1400120644700
9325106532346
10103100402112
113a7a75420a4
1217b94148680
139950c487c6
144dc0b20ba8
152a3651245c
hex18014349c0

103100402112 has 112 divisors (see below), whose sum is σ = 289108408320. Its totient is φ = 32314355712.

The previous prime is 103100402087. The next prime is 103100402123. The reversal of 103100402112 is 211204001301.

It is a junction number, because it is equal to n+sod(n) for n = 103100402091 and 103100402100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3533439 + ... + 3562497.

Almost surely, 2103100402112 is an apocalyptic number.

103100402112 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 103100402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144554204160).

103100402112 is an abundant number, since it is smaller than the sum of its proper divisors (186008006208).

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

103100402112 is a wasteful number, since it uses less digits than its factorization.

103100402112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30178 (or 30168 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 103100402112 its reverse (211204001301), we get a palindrome (314304403413).

The spelling of 103100402112 in words is "one hundred three billion, one hundred million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1087 1088 1632 2174 3261 3264 4348 6522 8696 13044 17392 18479 26088 29059 34784 36958 52176 55437 58118 69568 73916 87177 104352 110874 116236 147832 174354 208704 221748 232472 295664 348708 443496 464944 494003 591328 697416 886992 929888 988006 1182656 1394832 1482009 1773984 1859776 1976012 2789664 2964018 3547968 3952024 5579328 5928036 7904048 11856072 15808096 23712144 31587133 31616192 47424288 63174266 94761399 94848576 126348532 189522798 252697064 379045596 505394128 536981261 758091192 1010788256 1073962522 1516182384 1610943783 2021576512 2147925044 3032364768 3221887566 4295850088 6064729536 6443775132 8591700176 12887550264 17183400352 25775100528 34366800704 51550201056 103100402112