Search a number
-
+
100153535130 = 23351133721729
BaseRepresentation
bin101110101000110011…
…1011010101010011010
3100120111212112201212000
41131101213122222122
53120103301111010
6114002045501430
710143620000535
oct1352147325232
9316455481760
10100153535130
1139525072340
12174b1271876
1395a157872c
144bc15c9a1c
1529129667c0
hex17519daa9a

100153535130 has 64 divisors (see below), whose sum is σ = 291355747200. Its totient is φ = 24279644160.

The previous prime is 100153535117. The next prime is 100153535147. The reversal of 100153535130 is 31535351001.

100153535130 is a `hidden beast` number, since 100 + 15 + 3 + 535 + 13 + 0 = 666.

It is a super-2 number, since 2×1001535351302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100153535094 and 100153535103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16857895 + ... + 16863834.

It is an arithmetic number, because the mean of its divisors is an integer number (4552433550).

Almost surely, 2100153535130 is an apocalyptic number.

100153535130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100153535130 is an abundant number, since it is smaller than the sum of its proper divisors (191202212070).

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

100153535130 is a wasteful number, since it uses less digits than its factorization.

100153535130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33721756 (or 33721750 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

Adding to 100153535130 its reverse (31535351001), we get a palindrome (131688886131).

The spelling of 100153535130 in words is "one hundred billion, one hundred fifty-three million, five hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 33721729 67443458 101165187 168608645 202330374 303495561 337217290 370939019 505825935 606991122 741878038 910486683 1011651870 1112817057 1517477805 1820973366 1854695095 2225634114 3034955610 3338451171 3709390190 4552433415 5564085285 6676902342 9104866830 10015353513 11128170570 16692255855 20030707026 33384511710 50076767565 100153535130