Search a number
-
+
100919101010 = 25721315842873
BaseRepresentation
bin101110111111100111…
…1110100011001010010
3100122111020002111210212
41131333033310121102
53123140242213020
6114210034324122
710201604130200
oct1357717643122
9318436074725
10100919101010
1139888224312
1217685729642
1396940632b0
144c55150070
152959c8acc5
hex177f3f4652

100919101010 has 48 divisors (see below), whose sum is σ = 227567042136. Its totient is φ = 31939229952.

The previous prime is 100919100979. The next prime is 100919101021. The reversal of 100919101010 is 10101919001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 48308962849 + 52610138161 = 219793^2 + 229369^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7915067 + ... + 7927806.

Almost surely, 2100919101010 is an apocalyptic number.

100919101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100919101010 is an abundant number, since it is smaller than the sum of its proper divisors (126647941126).

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

100919101010 is a wasteful number, since it uses less digits than its factorization.

100919101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15842907 (or 15842900 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 100919101010 in words is "one hundred billion, nine hundred nineteen million, one hundred one thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 455 490 637 910 1274 3185 6370 15842873 31685746 79214365 110900111 158428730 205957349 221800222 411914698 554500555 776300777 1029786745 1109001110 1441701443 1552601554 2059573490 2883402886 3881503885 7208507215 7763007770 10091910101 14417014430 20183820202 50459550505 100919101010