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31131231103120 = 24513115803187973
BaseRepresentation
bin1110001010000010011011…
…11110001010100010010000
311002020010011000120221120211
413011001031332022202100
513040023230130244440
6150113253511413504
76362104633202431
oct705011576124220
9132203130527524
1031131231103120
119a12754406075
1235a9536384294
13144a87c673ba5
14798a8c5a7488
1538ebdc4d4eea
hex1c504df8a890

31131231103120 has 80 divisors (see below), whose sum is σ = 72937635388992. Its totient is φ = 12356587543040.

The previous prime is 31131231103117. The next prime is 31131231103177. The reversal of 31131231103120 is 2130113213113.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 31131231103091 and 31131231103100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165521454 + ... + 165709426.

Almost surely, 231131231103120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31131231103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36468817694496).

31131231103120 is an abundant number, since it is smaller than the sum of its proper divisors (41806404285872).

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

31131231103120 is a wasteful number, since it uses less digits than its factorization.

31131231103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203920 (or 203914 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 31131231103120 its reverse (2130113213113), we get a palindrome (33261344316233).

The spelling of 31131231103120 in words is "thirty-one trillion, one hundred thirty-one billion, two hundred thirty-one million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 10480 15803 31606 63212 79015 126424 158030 187973 252848 316060 375946 632120 751892 939865 1264240 1503784 1879730 2070193 3007568 3759460 4140386 7518920 8280772 10350965 15037840 16561544 20701930 24624463 33123088 41403860 49248926 82807720 98497852 123122315 165615440 196995704 246244630 393991408 492489260 984978520 1969957040 2970537319 5941074638 11882149276 14852686595 23764298552 29705373190 47528597104 59410746380 118821492760 237642985520 389140388789 778280777578 1556561555156 1945701943945 3113123110312 3891403887890 6226246220624 7782807775780 15565615551560 31131231103120