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312132120010030 = 25294130785510261
BaseRepresentation
bin100011011111000011110110…
…0001000101101110100101110
31111221011112120010010121022101
41012332013230020231310232
5311402433040210310110
63023503303312405314
7122513541624164155
oct10676075410556456
91457145503117271
10312132120010030
1190500541529361
122b01136754683a
1310521c17c71c18
1457113bd29859c
1526144157ae13a
hex11be1ec22dd2e

312132120010030 has 64 divisors (see below), whose sum is σ = 597326804585280. Its totient is φ = 117224305228800.

The previous prime is 312132120009973. The next prime is 312132120010031. The reversal of 312132120010030 is 30010021231213.

It is a super-4 number, since 4×3121321200100304 (a number of 59 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312132120010031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39104901 + ... + 46405360.

It is an arithmetic number, because the mean of its divisors is an integer number (9333231321645).

Almost surely, 2312132120010030 is an apocalyptic number.

312132120010030 is a deficient number, since it is larger than the sum of its proper divisors (285194684575250).

312132120010030 is a wasteful number, since it uses less digits than its factorization.

312132120010030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85510645.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 312132120010030 its reverse (30010021231213), we get a palindrome (342142141241243).

The spelling of 312132120010030 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred twenty million, ten thousand, thirty".

Divisors: 1 2 5 10 29 41 58 82 145 205 290 307 410 614 1189 1535 2378 3070 5945 8903 11890 12587 17806 25174 44515 62935 89030 125870 365023 730046 1825115 3650230 85510261 171020522 427551305 855102610 2479797569 3505920701 4959595138 7011841402 12398987845 17529603505 24797975690 26251650127 35059207010 52503300254 101671700329 131258250635 203343400658 262516501270 508358501645 761297853683 1016717003290 1076317655207 1522595707366 2152635310414 3806489268415 5381588276035 7612978536830 10763176552070 31213212001003 62426424002006 156066060005015 312132120010030