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10021200240 = 2435211197891
BaseRepresentation
bin10010101010100111…
…10110000101110000
3221212101122201101110
421111103312011300
5131010411401430
64334221033320
7503222540142
oct112523660560
927771581343
1010021200240
114282785077
121b380b5840
13c39200cac
146b0cc0c92
153d9b997b0
hex2554f6170

10021200240 has 80 divisors (see below), whose sum is σ = 31213109376. Its totient is φ = 2659641600.

The previous prime is 10021200227. The next prime is 10021200281. The reversal of 10021200240 is 4200212001.

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 (12).

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, 48306 + ... + 149585.

Almost surely, 210021200240 is an apocalyptic number.

10021200240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021200240 is an abundant number, since it is smaller than the sum of its proper divisors (21191909136).

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

10021200240 is a wasteful number, since it uses less digits than its factorization.

10021200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198118 (or 198112 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10021200240 its reverse (4200212001), we get a palindrome (14221412241).

The spelling of 10021200240 in words is "ten billion, twenty-one million, two hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 211 240 422 633 844 1055 1266 1688 2110 2532 3165 3376 4220 5064 6330 8440 10128 12660 16880 25320 50640 197891 395782 593673 791564 989455 1187346 1583128 1978910 2374692 2968365 3166256 3957820 4749384 5936730 7915640 9498768 11873460 15831280 23746920 41755001 47493840 83510002 125265003 167020004 208775005 250530006 334040008 417550010 501060012 626325015 668080016 835100020 1002120024 1252650030 1670200040 2004240048 2505300060 3340400080 5010600120 10021200240