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100401355040 = 2557831080049
BaseRepresentation
bin101110110000001100…
…0110001100100100000
3100121011010212021212012
41131200120301210200
53121110221330130
6114042421252052
710153016302550
oct1354030614440
9317133767765
10100401355040
1139641a47088
1217560264028
139610a06a2c
144c06499160
1529295b9995
hex1760631920

100401355040 has 96 divisors (see below), whose sum is σ = 274349980800. Its totient is φ = 34008551424.

The previous prime is 100401355027. The next prime is 100401355051. The reversal of 100401355040 is 40553104001.

It is a junction number, because it is equal to n+sod(n) for n = 100401354997 and 100401355015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447065 + ... + 632984.

It is an arithmetic number, because the mean of its divisors is an integer number (2857812300).

Almost surely, 2100401355040 is an apocalyptic number.

100401355040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100401355040 is an abundant number, since it is smaller than the sum of its proper divisors (173948625760).

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

100401355040 is a wasteful number, since it uses less digits than its factorization.

100401355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080154 (or 1080146 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 100401355040 its reverse (40553104001), we get a palindrome (140954459041).

The spelling of 100401355040 in words is "one hundred billion, four hundred one million, three hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 83 112 140 160 166 224 280 332 415 560 581 664 830 1120 1162 1328 1660 2324 2656 2905 3320 4648 5810 6640 9296 11620 13280 18592 23240 46480 92960 1080049 2160098 4320196 5400245 7560343 8640392 10800490 15120686 17280784 21600980 30241372 34561568 37801715 43201960 60482744 75603430 86403920 89644067 120965488 151206860 172807840 179288134 241930976 302413720 358576268 448220335 604827440 627508469 717152536 896440670 1209654880 1255016938 1434305072 1792881340 2510033876 2868610144 3137542345 3585762680 5020067752 6275084690 7171525360 10040135504 12550169380 14343050720 20080271008 25100338760 50200677520 100401355040