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2313133101312 = 28311273808369
BaseRepresentation
bin100001101010010001011…
…110100001000100000000
322012010121020000112211220
4201222101132201010000
5300344244033220222
64530345542035040
7326055410643465
oct41522136410400
98163536015756
102313133101312
11811aa3372520
12314373718a80
1313a1871c7c37
147dd55cc766c
1540283630b5c
hex21a917a1100

2313133101312 has 72 divisors (see below), whose sum is σ = 6715971699360. Its totient is φ = 700949422080.

The previous prime is 2313133101311. The next prime is 2313133101313. The reversal of 2313133101312 is 2131013313132.

It is an interprime number because it is at equal distance from previous prime (2313133101311) and next prime (2313133101313).

It is a super-2 number, since 2×23131331013122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2313133101311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136895737 + ... + 136912632.

Almost surely, 22313133101312 is an apocalyptic number.

2313133101312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2313133101312 is an abundant number, since it is smaller than the sum of its proper divisors (4402838598048).

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

2313133101312 is a wasteful number, since it uses less digits than its factorization.

2313133101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273808399 (or 273808385 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 2313133101312 its reverse (2131013313132), we get a palindrome (4444146414444).

The spelling of 2313133101312 in words is "two trillion, three hundred thirteen billion, one hundred thirty-three million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 273808369 547616738 821425107 1095233476 1642850214 2190466952 3011892059 3285700428 4380933904 6023784118 6571400856 8761867808 9035676177 12047568236 13142801712 17523735616 18071352354 24095136472 26285603424 35047471232 36142704708 48190272944 52571206848 70094942464 72285409416 96380545888 105142413696 144570818832 192761091776 210284827392 289141637664 385522183552 578283275328 771044367104 1156566550656 2313133101312