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3134231000120 = 2351147751201809
BaseRepresentation
bin101101100110111110101…
…110011011010000111000
3102002121222221120121010002
4231212332232123100320
5402322401114000440
610355502411412132
7442304110634543
oct55467656332070
912077887517102
103134231000120
11aa9246765920
12427527754048
131997311456ac
14ab9aa28785a
15567ddc5c115
hex2d9beb9b438

3134231000120 has 128 divisors (see below), whose sum is σ = 7867296460800. Its totient is φ = 1113980160000.

The previous prime is 3134231000111. The next prime is 3134231000143. The reversal of 3134231000120 is 210001324313.

It is a super-2 number, since 2×31342310001202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3134231000092 and 3134231000101.

It is a congruent number.

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, 15429776 + ... + 15631584.

It is an arithmetic number, because the mean of its divisors is an integer number (61463253600).

Almost surely, 23134231000120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134231000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933648230400).

3134231000120 is an abundant number, since it is smaller than the sum of its proper divisors (4733065460680).

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

3134231000120 is a wasteful number, since it uses less digits than its factorization.

3134231000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202629 (or 202625 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 3134231000120 its reverse (210001324313), we get a palindrome (3344232324433).

The spelling of 3134231000120 in words is "three trillion, one hundred thirty-four billion, two hundred thirty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 751 940 1034 1502 1880 2068 2585 3004 3755 4136 5170 6008 7510 8261 10340 15020 16522 20680 30040 33044 35297 41305 66088 70594 82610 141188 165220 176485 201809 282376 330440 352970 388267 403618 705940 776534 807236 1009045 1411880 1553068 1614472 1941335 2018090 2219899 3106136 3882670 4036180 4439798 7765340 8072360 8879596 9485023 11099495 15530680 17759192 18970046 22198990 37940092 44397980 47425115 75880184 88795960 94850230 104335253 151558559 189700460 208670506 303117118 379400920 417341012 521676265 606234236 757792795 834682024 1043352530 1212468472 1515585590 1667144149 2086705060 3031171180 3334288298 4173410120 6062342360 6668576596 7123252273 8335720745 13337153192 14246504546 16671441490 28493009092 33342882980 35616261365 56986018184 66685765960 71232522730 78355775003 142465045460 156711550006 284930090920 313423100012 391778875015 626846200024 783557750030 1567115500060 3134231000120