Search a number
-
+
31004241210 = 235513793131
BaseRepresentation
bin11100110111111111…
…110010110100111010
32222000201221122100000
4130313333302310322
51001444041204320
622124304253430
72145212462535
oct346777626472
988021848300
1031004241210
11121700a4348
126013311276
132c01458877
14170197ba1c
15c16d96c90
hex737ff2d3a

31004241210 has 96 divisors (see below), whose sum is σ = 84207719232. Its totient is φ = 8207360640.

The previous prime is 31004241187. The next prime is 31004241227. The reversal of 31004241210 is 1214240013.

31004241210 is a `hidden beast` number, since 31 + 0 + 0 + 424 + 1 + 210 = 666.

It is a super-2 number, since 2×310042412102 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286345 + ... + 379475.

It is an arithmetic number, because the mean of its divisors is an integer number (877163742).

Almost surely, 231004241210 is an apocalyptic number.

31004241210 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 31004241210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42103859616).

31004241210 is an abundant number, since it is smaller than the sum of its proper divisors (53203478022).

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

31004241210 is a wasteful number, since it uses less digits than its factorization.

31004241210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93290 (or 93278 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31004241210 its reverse (1214240013), we get a palindrome (32218481223).

The spelling of 31004241210 in words is "thirty-one billion, four million, two hundred forty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 137 162 243 270 274 405 411 486 685 810 822 1215 1233 1370 2055 2430 2466 3699 4110 6165 7398 11097 12330 18495 22194 33291 36990 55485 66582 93131 110970 166455 186262 279393 332910 465655 558786 838179 931310 1396965 1676358 2514537 2793930 4190895 5029074 7543611 8381790 12572685 12758947 15087222 22630833 25145370 25517894 37718055 38276841 45261666 63794735 75436110 76553682 113154165 114830523 127589470 191384205 226308330 229661046 344491569 382768410 574152615 688983138 1033474707 1148305230 1722457845 2066949414 3100424121 3444915690 5167373535 6200848242 10334747070 15502120605 31004241210