Search a number
-
+
10100250061 = 1122359137449
BaseRepresentation
bin10010110100000010…
…11001010111001101
3222001220101212100121
421122001121113031
5131141131000221
64350123224541
7505202465116
oct113201312715
928056355317
1010100250061
114313367400
121b5a678151
13c4c6baa35
146bb5bb20d
153e1ab1a41
hex25a0595cd

10100250061 has 48 divisors (see below), whose sum is σ = 11893392000. Its totient is φ = 8551854080.

The previous prime is 10100250059. The next prime is 10100250079. The reversal of 10100250061 is 16005200101.

It is a happy number.

It is not a de Polignac number, because 10100250061 - 21 = 10100250059 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100250031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22494765 + ... + 22495213.

It is an arithmetic number, because the mean of its divisors is an integer number (247779000).

Almost surely, 210100250061 is an apocalyptic number.

10100250061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100250061 is a deficient number, since it is larger than the sum of its proper divisors (1793141939).

10100250061 is a wasteful number, since it uses less digits than its factorization.

10100250061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 10100250061 its reverse (16005200101), we get a palindrome (26105450162).

The spelling of 10100250061 in words is "ten billion, one hundred million, two hundred fifty thousand, sixty-one".

Divisors: 1 11 23 59 121 137 253 449 649 1357 1507 2783 3151 4939 7139 8083 10327 14927 16577 26491 34661 54329 61513 88913 113597 164197 185909 291401 381271 609293 676643 978043 1249567 1414799 2044999 3205411 3629267 6702223 7443073 15562789 22494989 39921937 73724453 83473141 171190679 439141307 918204551 10100250061