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31006150125 = 353197419711
BaseRepresentation
bin11100111000000111…
…000100110111101101
32222000212112121212120
4130320013010313231
51002000033301000
622124413223153
72145234633066
oct347007046755
988025477776
1031006150125
1112171188565
126013a91ab9
132c019766c2
141701d1756d
15c171226a0
hex7381c4ded

31006150125 has 32 divisors (see below), whose sum is σ = 51856257024. Its totient is φ = 16452632000.

The previous prime is 31006150093. The next prime is 31006150129. The reversal of 31006150125 is 52105160013.

It is not a de Polignac number, because 31006150125 - 25 = 31006150093 is a prime.

It is a super-2 number, since 2×310061501252 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31006150095 and 31006150104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31006150129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 135981 + ... + 283730.

It is an arithmetic number, because the mean of its divisors is an integer number (1620508032).

Almost surely, 231006150125 is an apocalyptic number.

It is an amenable number.

31006150125 is a deficient number, since it is larger than the sum of its proper divisors (20850106899).

31006150125 is a wasteful number, since it uses less digits than its factorization.

31006150125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419926 (or 419916 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 31006150125 in words is "thirty-one billion, six million, one hundred fifty thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 197 375 591 985 2955 4925 14775 24625 73875 419711 1259133 2098555 6295665 10492775 31478325 52463875 82683067 157391625 248049201 413415335 1240246005 2067076675 6201230025 10335383375 31006150125