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100614122430 = 235171016473019
BaseRepresentation
bin101110110110100010…
…0011010101110111110
3100121200222012222211220
41131231010122232332
53122024203404210
6114115501454210
710161211633623
oct1355504325676
9317628188756
10100614122430
113974105a3a8
12175bb571366
139645b113b3
144c2684234a
15293d0e6c70
hex176d11abbe

100614122430 has 128 divisors (see below), whose sum is σ = 258694456320. Its totient is φ = 24955238400.

The previous prime is 100614122419. The next prime is 100614122513. The reversal of 100614122430 is 34221416001.

It is a self number, because there is not a number n which added to its sum of digits gives 100614122430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33325461 + ... + 33328479.

It is an arithmetic number, because the mean of its divisors is an integer number (2021050440).

Almost surely, 2100614122430 is an apocalyptic number.

100614122430 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 100614122430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129347228160).

100614122430 is an abundant number, since it is smaller than the sum of its proper divisors (158080333890).

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

100614122430 is a wasteful number, since it uses less digits than its factorization.

100614122430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794.

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

Adding to 100614122430 its reverse (34221416001), we get a palindrome (134835538431).

The spelling of 100614122430 in words is "one hundred billion, six hundred fourteen million, one hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 101 102 170 202 255 303 505 510 606 647 1010 1294 1515 1717 1941 3019 3030 3235 3434 3882 5151 6038 6470 8585 9057 9705 10302 10999 15095 17170 18114 19410 21998 25755 30190 32997 45285 51323 51510 54995 65347 65994 90570 102646 109990 130694 153969 164985 196041 256615 304919 307938 326735 329970 392082 513230 609838 653470 769845 914757 980205 1110899 1524595 1539690 1829514 1953293 1960410 2221798 3049190 3332697 3906586 4573785 5183623 5554495 5859879 6665394 9147570 9766465 10367246 11108990 11719758 15550869 16663485 19532930 25918115 29299395 31101738 33205981 33326970 51836230 58598790 66411962 77754345 99617943 155508690 166029905 197282593 199235886 332059810 394565186 498089715 591847779 986412965 996179430 1183695558 1972825930 2959238895 3353804081 5918477790 6707608162 10061412243 16769020405 20122824486 33538040810 50307061215 100614122430