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10103212240 = 2451122735051
BaseRepresentation
bin10010110100011001…
…01100100011010000
3222002002222100200221
421122030230203100
5131142410242430
64350310522424
7505236613162
oct113214544320
928062870627
1010103212240
114314aaa990
121b5b666414
13c501b70c4
146bbb4c932
153e1e9957a
hex25a32c8d0

10103212240 has 80 divisors (see below), whose sum is σ = 25641769536. Its totient is φ = 3671552000.

The previous prime is 10103212199. The next prime is 10103212253. The reversal of 10103212240 is 4221230101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 1997715 + ... + 2002765.

Almost surely, 210103212240 is an apocalyptic number.

10103212240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103212240 is an abundant number, since it is smaller than the sum of its proper divisors (15538557296).

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

10103212240 is a wasteful number, since it uses less digits than its factorization.

10103212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7348 (or 7342 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10103212240 its reverse (4221230101), we get a palindrome (14324442341).

The spelling of 10103212240 in words is "ten billion, one hundred three million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2273 4546 5051 9092 10102 11365 18184 20204 22730 25003 25255 36368 40408 45460 50006 50510 55561 80816 90920 100012 101020 111122 125015 181840 200024 202040 222244 250030 277805 400048 404080 444488 500060 555610 888976 1000120 1111220 2000240 2222440 4444880 11480923 22961846 45923692 57404615 91847384 114809230 126290153 183694768 229618460 252580306 459236920 505160612 631450765 918473840 1010321224 1262901530 2020642448 2525803060 5051606120 10103212240