Search a number
-
+
10100031232240 = 245833606142181
BaseRepresentation
bin1001001011111001100011…
…0001100001100011110000
31022202112221112122100122201
42102332120301201203300
52310434330443412430
633251520145312544
72061463121653015
oct222763061414360
938675845570581
1010100031232240
113244443361394
121171554035754
13583576281a81
1426cbb639d70c
15127ad1c9b8ca
hex92f98c618f0

10100031232240 has 80 divisors (see below), whose sum is σ = 23766717645216. Its totient is φ = 3991132339200.

The previous prime is 10100031232217. The next prime is 10100031232241. The reversal of 10100031232240 is 4223213000101.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100031232241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239423950 + ... + 239466130.

Almost surely, 210100031232240 is an apocalyptic number.

10100031232240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100031232240 is an abundant number, since it is smaller than the sum of its proper divisors (13666686412976).

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

10100031232240 is a wasteful number, since it uses less digits than its factorization.

10100031232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78338 (or 78332 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10100031232240 its reverse (4223213000101), we get a palindrome (14323244232341).

The spelling of 10100031232240 in words is "ten trillion, one hundred billion, thirty-one million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 6640 36061 42181 72122 84362 144244 168724 180305 210905 288488 337448 360610 421810 576976 674896 721220 843620 1442440 1687240 2884880 2993063 3374480 3501023 5986126 7002046 11972252 14004092 14965315 17505115 23944504 28008184 29930630 35010230 47889008 56016368 59861260 70020460 119722520 140040920 239445040 280081840 1521089041 3042178082 6084356164 7605445205 12168712328 15210890410 24337424656 30421780820 60843561640 121687123280 126250390403 252500780806 505001561612 631251952015 1010003123224 1262503904030 2020006246448 2525007808060 5050015616120 10100031232240