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31233110130 = 232523115113109
BaseRepresentation
bin11101000101101000…
…110111000001110010
32222121200121101110200
4131011220313001302
51002431134011010
622203121540030
72153662025055
oct350550670162
988550541420
1031233110130
1112278304a12
126077aa4616
132c399b0071
141724116a9c
15c2c004cc0
hex745a37072

31233110130 has 96 divisors (see below), whose sum is σ = 84816875520. Its totient is φ = 7959177600.

The previous prime is 31233110123. The next prime is 31233110131. The reversal of 31233110130 is 3101133213.

It is a happy number.

31233110130 is a `hidden beast` number, since 312 + 331 + 10 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31233110131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2376016 + ... + 2389124.

It is an arithmetic number, because the mean of its divisors is an integer number (883509120).

Almost surely, 231233110130 is an apocalyptic number.

31233110130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31233110130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42408437760).

31233110130 is an abundant number, since it is smaller than the sum of its proper divisors (53583765390).

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

31233110130 is a wasteful number, since it uses less digits than its factorization.

31233110130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14296 (or 14293 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31233110130 its reverse (3101133213), we get a palindrome (34334243343).

The spelling of 31233110130 in words is "thirty-one billion, two hundred thirty-three million, one hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 1151 2070 2302 3453 5755 6906 10359 11510 13109 17265 20718 26218 26473 34530 39327 51795 52946 65545 78654 79419 103590 117981 131090 132365 158838 196635 235962 238257 264730 301507 393270 397095 476514 589905 603014 794190 904521 1179810 1191285 1507535 1809042 2382570 2713563 3015070 4522605 5427126 9045210 13567815 15088459 27135630 30176918 45265377 75442295 90530754 135796131 150884590 226326885 271592262 347034557 452653770 678980655 694069114 1041103671 1357961310 1735172785 2082207342 3123311013 3470345570 5205518355 6246622026 10411036710 15616555065 31233110130