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2120315025330 = 2325313272927581
BaseRepresentation
bin11110110110101100100…
…111111011011110110010
321111200220101210101222100
4132312230213323132302
5234214401121302310
64302020445321230
7306121245226455
oct36665447733662
97450811711870
102120315025330
11748247612117
122a2b21266216
13124c38aaa558
14748a399b49c
153a24a95dec0
hex1edac9fb7b2

2120315025330 has 96 divisors (see below), whose sum is σ = 5532659037360. Its totient is φ = 563383941120.

The previous prime is 2120315025319. The next prime is 2120315025341. The reversal of 2120315025330 is 335205130212.

It is a happy number.

2120315025330 is a `hidden beast` number, since 2 + 12 + 0 + 315 + 0 + 2 + 5 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (2120315025319) and next prime (2120315025341).

It can be written as a sum of positive squares in 8 ways, for example, as 1541722038921 + 578592986409 = 1241661^2 + 760653^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2120315025294 and 2120315025303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76862140 + ... + 76889720.

Almost surely, 22120315025330 is an apocalyptic number.

2120315025330 is an abundant number, since it is smaller than the sum of its proper divisors (3412344012030).

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

2120315025330 is a wasteful number, since it uses less digits than its factorization.

2120315025330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30636 (or 30633 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 2120315025330 in words is "two trillion, one hundred twenty billion, three hundred fifteen million, twenty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 313 626 939 1565 1878 2729 2817 3130 4695 5458 5634 8187 9390 13645 14085 16374 24561 27290 27581 28170 40935 49122 55162 81870 82743 122805 137905 165486 245610 248229 275810 413715 496458 827430 854177 1241145 1708354 2482290 2562531 4270885 5125062 7687593 8541770 8632853 12812655 15375186 17265706 25625310 25898559 38437965 43164265 51797118 75268549 76875930 77695677 86328530 129492795 150537098 155391354 225805647 258985590 376342745 388478385 451611294 677416941 752685490 776956770 1129028235 1354833882 2258056470 3387084705 6774169410 23559055837 47118111674 70677167511 117795279185 141354335022 212031502533 235590558370 353385837555 424063005066 706771675110 1060157512665 2120315025330