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41312042120 = 23531101329863
BaseRepresentation
bin100110011110011000…
…111011110010001000
310221122002220011221002
4212132120323302020
51134101340321440
630551204234132
72661515364326
oct463630736210
9127562804832
1041312042120
111657a630778
12800b39b948
133b84b4574b
141ddc944d16
15111bca5115
hex99e63bc88

41312042120 has 64 divisors (see below), whose sum is σ = 96900848640. Its totient is φ = 15833376000.

The previous prime is 41312042117. The next prime is 41312042131. The reversal of 41312042120 is 2124021314.

41312042120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 41312042092 and 41312042101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39692 + ... + 290171.

It is an arithmetic number, because the mean of its divisors is an integer number (1514075760).

Almost surely, 241312042120 is an apocalyptic number.

41312042120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41312042120 is an abundant number, since it is smaller than the sum of its proper divisors (55588806520).

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

41312042120 is a wasteful number, since it uses less digits than its factorization.

41312042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330006 (or 330002 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 41312042120 its reverse (2124021314), we get a palindrome (43436063434).

The spelling of 41312042120 in words is "forty-one billion, three hundred twelve million, forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 101 124 155 202 248 310 404 505 620 808 1010 1240 2020 3131 4040 6262 12524 15655 25048 31310 62620 125240 329863 659726 1319452 1649315 2638904 3298630 6597260 10225753 13194520 20451506 33316163 40903012 51128765 66632326 81806024 102257530 133264652 166580815 204515060 266529304 333161630 409030120 666323260 1032801053 1332646520 2065602106 4131204212 5164005265 8262408424 10328010530 20656021060 41312042120