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212000100240 = 24353732368187
BaseRepresentation
bin1100010101110000110…
…0001100111110010000
3202021012122120221100110
43011130030030332100
511433134011201430
6241220321521320
721213363055665
oct3053414147620
9667178527313
10212000100240
11819aa591115
12351064a3240
1316cb74ba4c6
14a391b27a6c
1557abc147b0
hex315c30cf90

212000100240 has 80 divisors (see below), whose sum is σ = 658962520128. Its totient is φ = 56381772288.

The previous prime is 212000100239. The next prime is 212000100251. The reversal of 212000100240 is 42001000212.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1094574 + ... + 1273613.

Almost surely, 2212000100240 is an apocalyptic number.

212000100240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000100240 is an abundant number, since it is smaller than the sum of its proper divisors (446962419888).

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

212000100240 is a wasteful number, since it uses less digits than its factorization.

212000100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368576 (or 2368570 counting only the distinct ones).

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

Adding to 212000100240 its reverse (42001000212), we get a palindrome (254001100452).

The spelling of 212000100240 in words is "two hundred twelve billion, one hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 373 746 1119 1492 1865 2238 2984 3730 4476 5595 5968 7460 8952 11190 14920 17904 22380 29840 44760 89520 2368187 4736374 7104561 9472748 11840935 14209122 18945496 23681870 28418244 35522805 37890992 47363740 56836488 71045610 94727480 113672976 142091220 189454960 284182440 568364880 883333751 1766667502 2650001253 3533335004 4416668755 5300002506 7066670008 8833337510 10600005012 13250006265 14133340016 17666675020 21200010024 26500012530 35333350040 42400020048 53000025060 70666700080 106000050120 212000100240