Search a number
-
+
101331470260008 = 233210336109378407
BaseRepresentation
bin10111000010100100010010…
…010010100001011100101000
3111021210012020101111211110100
4113002210102102201130220
5101240203322341310013
6555303011303145400
730225646203464052
oct2702442222413450
9437705211454410
10101331470260008
112a31848728a50a
12b446874445260
1344706940b3bc1
141b0467dba68d2
15baace6441473
hex5c29124a1728

101331470260008 has 96 divisors (see below), whose sum is σ = 277112265206400. Its totient is φ = 33448208459904.

The previous prime is 101331470260001. The next prime is 101331470260057. The reversal of 101331470260008 is 800062074133101.

It is a happy number.

101331470260008 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 1 + 47 + 0 + 2 + 600 + 0 + 8 = 666.

It is a super-2 number, since 2×1013314702600082 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101331470260001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267595141 + ... + 267973547.

It is an arithmetic number, because the mean of its divisors is an integer number (2886586095900).

Almost surely, 2101331470260008 is an apocalyptic number.

101331470260008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101331470260008 is an abundant number, since it is smaller than the sum of its proper divisors (175780794946392).

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

101331470260008 is a wasteful number, since it uses less digits than its factorization.

101331470260008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414631 (or 414624 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 101331470260008 in words is "one hundred one trillion, three hundred thirty-one billion, four hundred seventy million, two hundred sixty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1854 2472 3708 7416 36109 72218 108327 144436 216654 288872 324981 378407 433308 649962 756814 866616 1135221 1299924 1513628 2270442 2599848 3027256 3405663 3719227 4540884 6811326 7438454 9081768 11157681 13622652 14876908 22315362 27245304 29753816 33473043 38975921 44630724 66946086 77951842 89261448 116927763 133892172 155903684 233855526 267784344 311807368 350783289 467711052 701566578 935422104 1403133156 2806266312 13663898363 27327796726 40991695089 54655593452 81983390178 109311186904 122975085267 163966780356 245950170534 327933560712 491900341068 983800682136 1407381531389 2814763062778 4222144594167 5629526125556 8444289188334 11259052251112 12666433782501 16888578376668 25332867565002 33777156753336 50665735130004 101331470260008