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31123101300030 = 23251991879924827
BaseRepresentation
bin1110001001110011010010…
…11001011011010100111110
311002012100011102221011022200
413010321221121123110332
513034410102413100110
6150105431053452330
76361366315051545
oct704715131332476
9132170142834280
1031123101300030
119a0a262340743
1235a7a477a10a6
131449b85283b0c
1479851a99115c
1538e8b38e96c0
hex1c4e6965b53e

31123101300030 has 96 divisors (see below), whose sum is σ = 81370066752000. Its totient is φ = 8253383979456.

The previous prime is 31123101300029. The next prime is 31123101300043. The reversal of 31123101300030 is 3000310132113.

It is a happy number.

31123101300030 is a `hidden beast` number, since 311 + 2 + 310 + 13 + 0 + 0 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31123101299976 and 31123101300012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33190477 + ... + 34115303.

It is an arithmetic number, because the mean of its divisors is an integer number (847604862000).

Almost surely, 231123101300030 is an apocalyptic number.

31123101300030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31123101300030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40685033376000).

31123101300030 is an abundant number, since it is smaller than the sum of its proper divisors (50246965451970).

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

31123101300030 is a wasteful number, since it uses less digits than its factorization.

31123101300030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926918 (or 926915 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31123101300030 its reverse (3000310132113), we get a palindrome (34123411432143).

The spelling of 31123101300030 in words is "thirty-one trillion, one hundred twenty-three billion, one hundred one million, three hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 199 398 597 995 1194 1791 1879 1990 2985 3582 3758 5637 5970 8955 9395 11274 16911 17910 18790 28185 33822 56370 84555 169110 373921 747842 924827 1121763 1849654 1869605 2243526 2774481 3365289 3739210 4624135 5548962 5608815 6730578 8323443 9248270 11217630 13872405 16646886 16826445 27744810 33652890 41617215 83234430 184040573 368081146 552121719 920202865 1104243438 1656365157 1737749933 1840405730 2760608595 3312730314 3475499866 5213249799 5521217190 8281825785 8688749665 10426499598 15639749397 16563651570 17377499330 26066248995 31279498794 52132497990 78198746985 156397493970 345812236667 691624473334 1037436710001 1729061183335 2074873420002 3112310130003 3458122366670 5187183550005 6224620260006 10374367100010 15561550650015 31123101300030