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31377100601 = 7112223283587
BaseRepresentation
bin11101001110001110…
…001000111100111001
32222222201112212021002
4131032032020330321
51003230014204401
622225304054345
72160360645260
oct351616107471
988881485232
1031377100601
1112341612100
1260b81643b5
132c60786822
1417392b95d7
15c39998a6b
hex74e388f39

31377100601 has 48 divisors (see below), whose sum is σ = 39800205312. Its totient is φ = 24212723040.

The previous prime is 31377100597. The next prime is 31377100609. The reversal of 31377100601 is 10600177313.

It is not a de Polignac number, because 31377100601 - 22 = 31377100597 is a prime.

It is a super-2 number, since 2×313771006012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31377100609) 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 47 ways as a sum of consecutive naturals, for example, 53453030 + ... + 53453616.

It is an arithmetic number, because the mean of its divisors is an integer number (829170944).

Almost surely, 231377100601 is an apocalyptic number.

It is an amenable number.

31377100601 is a deficient number, since it is larger than the sum of its proper divisors (8423104711).

31377100601 is a wasteful number, since it uses less digits than its factorization.

31377100601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 29.

Adding to 31377100601 its reverse (10600177313), we get a palindrome (41977277914).

The spelling of 31377100601 in words is "thirty-one billion, three hundred seventy-seven million, one hundred thousand, six hundred one".

Divisors: 1 7 11 77 121 223 283 587 847 1561 1981 2453 3113 4109 6457 17171 21791 26983 34243 45199 63109 71027 130901 166121 188881 239701 441763 497189 694199 916307 1162847 1439911 1827331 4859393 7636189 10079377 12791317 15839021 20100641 37044983 53453323 110873147 140704487 259314881 407494813 2852463691 4482442943 31377100601