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104111432430 = 235411132233359
BaseRepresentation
bin110000011110110000…
…1100110001011101110
3100221201201000202020220
41200331201212023232
53201210011314210
6115454513152210
710343656400655
oct1407541461356
9327651022226
10104111432430
114017620a145
121821685b666
139a825484b5
14507910019c
152a95171c70
hex183d8662ee

104111432430 has 128 divisors (see below), whose sum is σ = 259462103040. Its totient is φ = 26717859840.

The previous prime is 104111432423. The next prime is 104111432449. The reversal of 104111432430 is 34234111401.

It is a self number, because there is not a number n which added to its sum of digits gives 104111432430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30993091 + ... + 30996449.

It is an arithmetic number, because the mean of its divisors is an integer number (2027047680).

Almost surely, 2104111432430 is an apocalyptic number.

104111432430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104111432430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129731051520).

104111432430 is an abundant number, since it is smaller than the sum of its proper divisors (155350670610).

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

104111432430 is a wasteful number, since it uses less digits than its factorization.

104111432430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 104111432430 its reverse (34234111401), we get a palindrome (138345543831).

The spelling of 104111432430 in words is "one hundred four billion, one hundred eleven million, four hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 113 123 205 223 226 246 339 410 446 565 615 669 678 1115 1130 1230 1338 1695 2230 3345 3359 3390 4633 6690 6718 9143 9266 10077 13899 16795 18286 20154 23165 25199 27429 27798 33590 45715 46330 50385 50398 54858 69495 75597 91430 100770 125995 137145 137719 138990 151194 251990 274290 275438 377985 379567 413157 688595 749057 755970 759134 826314 1033159 1138701 1377190 1498114 1897835 2065785 2066318 2247171 2277402 3099477 3745285 3795670 4131570 4494342 5165795 5693505 6198954 7490570 10331590 11235855 11387010 15497385 15562247 22471710 30711337 30994770 31124494 46686741 61422674 77811235 84643441 92134011 93373482 153556685 155622470 169286882 184268022 233433705 253930323 307113370 423217205 460670055 466867410 507860646 846434410 921340110 1269651615 2539303230 3470381081 6940762162 10411143243 17351905405 20822286486 34703810810 52055716215 104111432430