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10014122140 = 22511219217793
BaseRepresentation
bin10010101001110001…
…10110000010011100
3221211220100010001121
421110320312002130
5131002103402030
64333405220324
7503105430241
oct112470660234
927756303047
1010014122140
114279790200
121b358616a4
13c378c3379
146add9b5c8
153d924c47a
hex254e3609c

10014122140 has 72 divisors (see below), whose sum is σ = 24331945680. Its totient is φ = 3449825280.

The previous prime is 10014122093. The next prime is 10014122143. The reversal of 10014122140 is 4122141001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014122143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62917 + ... + 154876.

It is an arithmetic number, because the mean of its divisors is an integer number (337943690).

Almost surely, 210014122140 is an apocalyptic number.

10014122140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014122140 is an abundant number, since it is smaller than the sum of its proper divisors (14317823540).

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

10014122140 is a wasteful number, since it uses less digits than its factorization.

10014122140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217843 (or 217830 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10014122140 its reverse (4122141001), we get a palindrome (14136263141).

The spelling of 10014122140 in words is "ten billion, fourteen million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 121 190 209 220 242 380 418 484 605 836 1045 1210 2090 2299 2420 4180 4598 9196 11495 22990 45980 217793 435586 871172 1088965 2177930 2395723 4138067 4355860 4791446 8276134 9582892 11978615 16552268 20690335 23957230 26352953 41380670 45518737 47914460 52705906 82761340 91037474 105411812 131764765 182074948 227593685 263529530 455187370 500706107 527059060 910374740 1001412214 2002824428 2503530535 5007061070 10014122140