Search a number
-
+
101056560000612 = 223277653325114321
BaseRepresentation
bin10110111110100100010000…
…010111000110111001100100
3111020210220122102100200111020
4112332210100113012321210
5101221202313330004422
6554532424234211140
730200044523025246
oct2676442027067144
9436726572320436
10101056560000612
112a221934643727
12b401531583ab0
13445079227c668
141ad5240ccc096
15ba3aa677e95c
hex5be9105c6e64

101056560000612 has 96 divisors (see below), whose sum is σ = 237101762265984. Its totient is φ = 33499864320000.

The previous prime is 101056560000589. The next prime is 101056560000629. The reversal of 101056560000612 is 216000065650101.

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 31 ways as a sum of consecutive naturals, for example, 7056522412 + ... + 7056536732.

It is an arithmetic number, because the mean of its divisors is an integer number (2469810023604).

Almost surely, 2101056560000612 is an apocalyptic number.

101056560000612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101056560000612 is an abundant number, since it is smaller than the sum of its proper divisors (136045202265372).

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

101056560000612 is a wasteful number, since it uses less digits than its factorization.

101056560000612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18509 (or 18507 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 101056560000612 in words is "one hundred one trillion, fifty-six billion, five hundred sixty million, six hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 277 554 653 831 1108 1306 1662 1959 2612 3251 3324 3918 6502 7836 9753 13004 14321 19506 28642 39012 42963 57284 85926 171852 180881 361762 542643 723524 900527 1085286 1801054 2122903 2170572 2701581 3602108 3966917 4245806 5403162 6368709 7933834 8491612 9351613 10806324 11900751 12737418 15867668 18703226 23801502 25474836 28054839 37406452 46557571 47603004 56109678 93115142 112219356 139672713 186230284 279345426 558690852 588044131 1176088262 1764132393 2352176524 2590396801 3528264786 5180793602 7056529572 7771190403 10361587204 12896447167 15542380806 25792894334 30402093863 31084761612 38689341501 51585788668 60804187726 77378683002 91206281589 121608375452 154757366004 182412563178 364825126356 8421380000051 16842760000102 25264140000153 33685520000204 50528280000306 101056560000612