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102240124040 = 23519230723063
BaseRepresentation
bin101111100110111111…
…1000111110010001000
3100202220021211102201202
41133031333013302020
53133341432432130
6114545104403332
710246414500245
oct1371577076210
9322807742652
10102240124040
113a3a598048a
1217994016548
13984494c222
144d3c7845cc
1529d5c30145
hex17cdfc7c88

102240124040 has 96 divisors (see below), whose sum is σ = 243586284480. Its totient is φ = 38615750784.

The previous prime is 102240124033. The next prime is 102240124043. The reversal of 102240124040 is 40421042201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (102240124043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4421549 + ... + 4444611.

It is an arithmetic number, because the mean of its divisors is an integer number (2537357130).

Almost surely, 2102240124040 is an apocalyptic number.

102240124040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102240124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121793142240).

102240124040 is an abundant number, since it is smaller than the sum of its proper divisors (141346160440).

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

102240124040 is a wasteful number, since it uses less digits than its factorization.

102240124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23419 (or 23396 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 102240124040 its reverse (40421042201), we get a palindrome (142661166241).

The spelling of 102240124040 in words is "one hundred two billion, two hundred forty million, one hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 307 361 380 614 722 760 1228 1444 1535 1805 2456 2888 3070 3610 5833 6140 7220 11666 12280 14440 23063 23332 29165 46126 46664 58330 92252 110827 115315 116660 184504 221654 230630 233320 438197 443308 461260 554135 876394 886616 922520 1108270 1752788 2190985 2216540 3505576 4381970 4433080 7080341 8325743 8763940 14160682 16651486 17527880 28321364 33302972 35401705 41628715 56642728 66605944 70803410 83257430 134526479 141606820 166514860 269052958 283213640 333029720 538105916 672632395 1076211832 1345264790 2556003101 2690529580 5112006202 5381059160 10224012404 12780015505 20448024808 25560031010 51120062020 102240124040