Search a number
-
+
10050605106100 = 22521323336140639
BaseRepresentation
bin1001001001000001011010…
…1111110100001110110100
31022120211100221122222222021
42102100112233310032310
52304132114401343400
633213103444042524
72055063235553626
oct222202657641664
938524327588867
1010050605106100
11322548a622259
121163a5b393444
1357b9ca390ca0
1426a647d74c16
1512668c9b371a
hex92416bf43b4

10050605106100 has 72 divisors (see below), whose sum is σ = 24508686343680. Its totient is φ = 3549645137280.

The previous prime is 10050605106097. The next prime is 10050605106119. The reversal of 10050605106100 is 160150605001.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168040420 + ... + 168100219.

It is an arithmetic number, because the mean of its divisors is an integer number (340398421440).

Almost surely, 210050605106100 is an apocalyptic number.

10050605106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10050605106100 is an abundant number, since it is smaller than the sum of its proper divisors (14458081237580).

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

10050605106100 is a wasteful number, since it uses less digits than its factorization.

10050605106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336140689 (or 336140682 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 10050605106100 in words is "ten trillion, fifty billion, six hundred five million, one hundred six thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1150 1196 1300 1495 2300 2990 5980 7475 14950 29900 336140639 672281278 1344562556 1680703195 3361406390 4369828307 6722812780 7731234697 8403515975 8739656614 15462469394 16807031950 17479313228 21849141535 30924938788 33614063900 38656173485 43698283070 77312346970 87396566140 100506051061 109245707675 154624693940 193280867425 201012102122 218491415350 386561734850 402024204244 436982830700 502530255305 773123469700 1005060510610 2010121021220 2512651276525 5025302553050 10050605106100