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31241435130 = 2345311244183
BaseRepresentation
bin11101000110001000…
…100111011111111010
32222122021021100020000
4131012020213133322
51002440301411010
622204020213430
72154122550153
oct350610473772
988567240200
1031241435130
1112281a80684
12607a83a276
132c3b6363b9
14172528292a
15c2caeb7c0
hex7462277fa

31241435130 has 80 divisors (see below), whose sum is σ = 86714648064. Its totient is φ = 8062299360.

The previous prime is 31241435063. The next prime is 31241435131. The reversal of 31241435130 is 3153414213.

It is a happy number.

31241435130 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 143 + 513 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31241435094 and 31241435103.

It is not an unprimeable number, because it can be changed into a prime (31241435131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 596982 + ... + 647201.

Almost surely, 231241435130 is an apocalyptic number.

31241435130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31241435130 is an abundant number, since it is smaller than the sum of its proper divisors (55473212934).

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

31241435130 is a wasteful number, since it uses less digits than its factorization.

31241435130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244233 (or 1244224 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 31241435130 its reverse (3153414213), we get a palindrome (34394849343).

The spelling of 31241435130 in words is "thirty-one billion, two hundred forty-one million, four hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 270 279 310 405 465 558 810 837 930 1395 1674 2511 2790 4185 5022 8370 12555 25110 1244183 2488366 3732549 6220915 7465098 11197647 12441830 18662745 22395294 33592941 37325490 38569673 55988235 67185882 77139346 100778823 111976470 115709019 167964705 192848365 201557646 231418038 335929410 347127057 385696730 503894115 578545095 694254114 1007788230 1041381171 1157090190 1735635285 2082762342 3124143513 3471270570 5206905855 6248287026 10413811710 15620717565 31241435130