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3013122100131 = 32111331233324131
BaseRepresentation
bin101011110110001100000…
…100101000101110100011
3101200001101122211000210200
4223312030010220232203
5343331333224201011
610224113103400243
7430455655160553
oct53661404505643
911601348730720
103013122100131
11a61948967830
12407b685b3083
1318b1a02b26b0
14a5b9b967163
15535a1763856
hex2bd8c128ba3

3013122100131 has 96 divisors (see below), whose sum is σ = 5300787308544. Its totient is φ = 1624280256000.

The previous prime is 3013122100103. The next prime is 3013122100139. The reversal of 3013122100131 is 1310012213103.

3013122100131 is a `hidden beast` number, since 301 + 312 + 21 + 0 + 0 + 1 + 31 = 666.

It is not a de Polignac number, because 3013122100131 - 25 = 3013122100099 is a prime.

It is a super-2 number, since 2×30131221001312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3013122100139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9133936 + ... + 9458066.

It is an arithmetic number, because the mean of its divisors is an integer number (55216534464).

Almost surely, 23013122100131 is an apocalyptic number.

3013122100131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3013122100131 is a deficient number, since it is larger than the sum of its proper divisors (2287665208413).

3013122100131 is a wasteful number, since it uses less digits than its factorization.

3013122100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324425 (or 324422 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3013122100131 its reverse (1310012213103), we get a palindrome (4323134313234).

The spelling of 3013122100131 in words is "three trillion, thirteen billion, one hundred twenty-two million, one hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 11 13 31 33 39 93 99 117 143 233 279 341 403 429 699 1023 1209 1287 2097 2563 3029 3069 3627 4433 7223 7689 9087 13299 21669 23067 27261 33319 39897 65007 79453 93899 99957 238359 281697 299871 324131 715077 845091 972393 1032889 2917179 3098667 3565441 4213703 9296001 10048061 10696323 12641109 30144183 32088969 37923327 46350733 75522523 90432549 110528671 130624793 139052199 226567569 331586013 391874379 417156597 679702707 830747753 981792799 994758039 1175623137 1436872723 2341198213 2492243259 2945378397 4310618169 7023594639 7476729777 8836135191 10799720789 12931854507 21070783917 25753180343 30435576769 32399162367 77259541029 91306730307 97197487101 231778623087 273920190921 334791344459 1004374033377 3013122100131