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100855990040 = 235132959113357
BaseRepresentation
bin101110111101101111…
…1000100011100011000
3100122022211100010211112
41131323133010130120
53123023113140130
6114155501515452
710200206525201
oct1357337043430
9318284303745
10100855990040
1139855639093
1217668572b88
139683c67320
144c4aa025a8
152954471495
hex177b7c4718

100855990040 has 128 divisors (see below), whose sum is σ = 257095944000. Its totient is φ = 35345307648.

The previous prime is 100855990031. The next prime is 100855990051. The reversal of 100855990040 is 40099558001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100855990040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833042 + ... + 946398.

Almost surely, 2100855990040 is an apocalyptic number.

100855990040 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 100855990040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128547972000).

100855990040 is an abundant number, since it is smaller than the sum of its proper divisors (156239953960).

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

100855990040 is a wasteful number, since it uses less digits than its factorization.

100855990040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113469 (or 113465 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 41.

The spelling of 100855990040 in words is "one hundred billion, eight hundred fifty-five million, nine hundred ninety thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 59 65 104 116 118 130 145 232 236 260 290 295 377 472 520 580 590 754 767 1160 1180 1508 1534 1711 1885 2360 3016 3068 3422 3770 3835 6136 6844 7540 7670 8555 13688 15080 15340 17110 22243 30680 34220 44486 68440 88972 111215 113357 177944 222430 226714 444860 453428 566785 889720 906856 1133570 1473641 2267140 2947282 3287353 4534280 5894564 6574706 6688063 7368205 11789128 13149412 13376126 14736410 16436765 26298824 26752252 29472820 32873530 33440315 42735589 53504504 58945640 65747060 66880630 85471178 86944819 131494120 133761260 170942356 173889638 193953827 213677945 267522520 341884712 347779276 387907654 427355890 434724095 695558552 775815308 854711780 869448190 969769135 1551630616 1709423560 1738896380 1939538270 2521399751 3477792760 3879076540 5042799502 7758153080 10085599004 12606998755 20171198008 25213997510 50427995020 100855990040