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1213310323120 = 245731768310007
BaseRepresentation
bin10001101001111110111…
…011100100100110110000
311021222202200102120201211
4101221332323210212300
5124334324420314440
62325215335005504
7153441650403550
oct21517673444660
94258680376654
101213310323120
11428620056935
12177193209894
138a55106014c
1442a20193160
15218634d9eea
hex11a7eee49b0

1213310323120 has 160 divisors (see below), whose sum is σ = 3239167822848. Its totient is φ = 414031309824.

The previous prime is 1213310323097. The next prime is 1213310323139. The reversal of 1213310323120 is 213230133121.

It is a junction number, because it is equal to n+sod(n) for n = 1213310323091 and 1213310323100.

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, 121241157 + ... + 121251163.

Almost surely, 21213310323120 is an apocalyptic number.

1213310323120 is a gapful number since it is divisible by the number (10) 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 1213310323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619583911424).

1213310323120 is an abundant number, since it is smaller than the sum of its proper divisors (2025857499728).

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

1213310323120 is a wasteful number, since it uses less digits than its factorization.

1213310323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11027 (or 11021 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1213310323120 its reverse (213230133121), we get a palindrome (1426540456241).

The spelling of 1213310323120 in words is "one trillion, two hundred thirteen billion, three hundred ten million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 317 560 634 683 1268 1366 1585 2219 2536 2732 3170 3415 4438 4781 5072 5464 6340 6830 8876 9562 10007 10928 11095 12680 13660 17752 19124 20014 22190 23905 25360 27320 35504 38248 40028 44380 47810 50035 54640 70049 76496 80056 88760 95620 100070 140098 160112 177520 191240 200140 216511 280196 350245 382480 400280 433022 560392 700490 800560 866044 1082555 1120784 1400980 1515577 1732088 2165110 2801960 3031154 3172219 3464176 4330220 5603920 6062308 6344438 6834781 7577885 8660440 12124616 12688876 13669562 15155770 15861095 17320880 22205533 24249232 25377752 27339124 30311540 31722190 34173905 44411066 47843467 50755504 54678248 60623080 63444380 68347810 88822132 95686934 109356496 111027665 121246160 126888760 136695620 177644264 191373868 222055330 239217335 253777520 273391240 355288528 382747736 444110660 478434670 546782480 765495472 888221320 956869340 1776442640 1913738680 2166625577 3827477360 4333251154 8666502308 10833127885 15166379039 17333004616 21666255770 30332758078 34666009232 43332511540 60665516156 75831895195 86665023080 121331032312 151663790390 173330046160 242662064624 303327580780 606655161560 1213310323120