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10101840336 = 2432789112603
BaseRepresentation
bin10010110100001110…
…11101100111010000
3222002000101122210200
421122013131213100
5131142032342321
64350221255200
7505222140360
oct113207354720
928060348720
1010101840336
114314253185
121b5b104500
13c4cb26823
146bb8b29a0
153e1cc7d26
hex25a1dd9d0

10101840336 has 120 divisors (see below), whose sum is σ = 32673176640. Its totient is φ = 2853785088.

The previous prime is 10101840319. The next prime is 10101840349. The reversal of 10101840336 is 63304810101.

10101840336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33411 + ... + 146013.

It is an arithmetic number, because the mean of its divisors is an integer number (272276472).

Almost surely, 210101840336 is an apocalyptic number.

10101840336 is a gapful number since it is divisible by the number (16) 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 10101840336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16336588320).

10101840336 is an abundant number, since it is smaller than the sum of its proper divisors (22571336304).

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

10101840336 is a wasteful number, since it uses less digits than its factorization.

10101840336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112713 (or 112704 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10101840336 in words is "ten billion, one hundred one million, eight hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 89 112 126 144 168 178 252 267 336 356 504 534 623 712 801 1008 1068 1246 1424 1602 1869 2136 2492 3204 3738 4272 4984 5607 6408 7476 9968 11214 12816 14952 22428 29904 44856 89712 112603 225206 337809 450412 675618 788221 900824 1013427 1351236 1576442 1801648 2026854 2364663 2702472 3152884 4053708 4729326 5404944 6305768 7093989 8107416 9458652 10021667 12611536 14187978 16214832 18917304 20043334 28375956 30065001 37834608 40086668 56751912 60130002 70151669 80173336 90195003 113503824 120260004 140303338 160346672 180390006 210455007 240520008 280606676 360780012 420910014 481040016 561213352 631365021 721560024 841820028 1122426704 1262730042 1443120048 1683640056 2525460084 3367280112 5050920168 10101840336