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100210214440 = 23571493923957
BaseRepresentation
bin101110101010011111…
…1101000011000101000
3100120122211012100020201
41131110333220120220
53120212303330230
6114011432401544
710145205524410
oct1352477503050
9316584170221
10100210214440
1139554065346
12175082462b4
1395b023209b
144bc8d41640
1529179105ca
hex1754fe8628

100210214440 has 64 divisors (see below), whose sum is σ = 257711414400. Its totient is φ = 34354053888.

The previous prime is 100210214407. The next prime is 100210214459. The reversal of 100210214440 is 44412012001.

It is a super-2 number, since 2×1002102144402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4170942 + ... + 4194898.

It is an arithmetic number, because the mean of its divisors is an integer number (4026740850).

Almost surely, 2100210214440 is an apocalyptic number.

100210214440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210214440 is an abundant number, since it is smaller than the sum of its proper divisors (157501199960).

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

100210214440 is a wasteful number, since it uses less digits than its factorization.

100210214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38914 (or 38910 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 100210214440 its reverse (44412012001), we get a palindrome (144622226441).

The spelling of 100210214440 in words is "one hundred billion, two hundred ten million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 14939 23957 29878 47914 59756 74695 95828 104573 119512 119785 149390 167699 191656 209146 239570 298780 335398 418292 479140 522865 597560 670796 836584 838495 958280 1045730 1341592 1676990 2091460 3353980 4182920 6707960 357893623 715787246 1431574492 1789468115 2505255361 2863148984 3578936230 5010510722 7157872460 10021021444 12526276805 14315744920 20042042888 25052553610 50105107220 100210214440