Search a number
-
+
103100213132322 = 23719924151184699
BaseRepresentation
bin10111011100010011100011…
…100101000111110000100010
3111112001021200010021101120020
4113130103203211013300202
5102003143214030213242
61003135330053254310
730500513252026020
oct2734234345076042
9445037603241506
10103100213132322
112a93a61155046a
12b691618934396
13456b40168a083
141b661111a9710
15bdbd16ced6ec
hex5dc4e3947c22

103100213132322 has 64 divisors (see below), whose sum is σ = 237824590080000. Its totient is φ = 29187562187520.

The previous prime is 103100213132321. The next prime is 103100213132327. The reversal of 103100213132322 is 223231312001301.

It is a super-2 number, since 2×1031002131323222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103100213132292 and 103100213132301.

It is not an unprimeable number, because it can be changed into a prime (103100213132321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23578072 + ... + 27606627.

It is an arithmetic number, because the mean of its divisors is an integer number (3716009220000).

Almost surely, 2103100213132322 is an apocalyptic number.

103100213132322 is an abundant number, since it is smaller than the sum of its proper divisors (134724376947678).

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

103100213132322 is a wasteful number, since it uses less digits than its factorization.

103100213132322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51185151.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103100213132322 its reverse (223231312001301), we get a palindrome (326331525133623).

The spelling of 103100213132322 in words is "one hundred three trillion, one hundred billion, two hundred thirteen million, one hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 199 241 398 482 597 723 1194 1393 1446 1687 2786 3374 4179 5061 8358 10122 47959 95918 143877 287754 335713 671426 1007139 2014278 51184699 102369398 153554097 307108194 358292893 716585786 1074878679 2149757358 10185755101 12335512459 20371510202 24671024918 30557265303 37006537377 61114530606 71300285707 74013074754 86348587213 142600571414 172697174426 213900857121 259045761639 427801714242 518091523278 2454766979341 4909533958682 7364300938023 14728601876046 17183368855387 34366737710774 51550106566161 103100213132322