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1312111110030 = 235759209105527
BaseRepresentation
bin10011000101111111111…
…010101010011110001110
311122102210021112120212220
4103011333322222132032
5132444200421010110
62442435302440210
7163540223262150
oct23057772523616
94572707476786
101312111110030
11466510573436
12192367433066
1396968292636
1447713c4aad0
15241e72e2370
hex1317feaa78e

1312111110030 has 64 divisors (see below), whose sum is σ = 3599028218880. Its totient is φ = 299903203584.

The previous prime is 1312111109983. The next prime is 1312111110077. The reversal of 1312111110030 is 300111112131.

It is an interprime number because it is at equal distance from previous prime (1312111109983) and next prime (1312111110077).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 1312111109991 and 1312111110009.

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, 12381127 + ... + 12486653.

It is an arithmetic number, because the mean of its divisors is an integer number (56234815920).

Almost surely, 21312111110030 is an apocalyptic number.

1312111110030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1312111110030 is an abundant number, since it is smaller than the sum of its proper divisors (2286917108850).

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

1312111110030 is a wasteful number, since it uses less digits than its factorization.

1312111110030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164753.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1312111110030 its reverse (300111112131), we get a palindrome (1612222222161).

It can be divided in two parts, 1312111 and 110030, that added together give a triangular number (1422141 = T1686).

The spelling of 1312111110030 in words is "one trillion, three hundred twelve billion, one hundred eleven million, one hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 59209 105527 118418 177627 211054 296045 316581 355254 414463 527635 592090 633162 738689 828926 888135 1055270 1243389 1477378 1582905 1776270 2072315 2216067 2486778 3165810 3693445 4144630 4432134 6216945 7386890 11080335 12433890 22160670 6248148143 12496296286 18744444429 31240740715 37488888858 43737037001 62481481430 87474074002 93722222145 131211111003 187444444290 218685185005 262422222006 437370370010 656055555015 1312111110030