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101421311024 = 241117269126013
BaseRepresentation
bin101111001110100101…
…1100110010000110000
3100200210020002102102202
41132131023212100300
53130202323423044
6114331534402332
710220212630265
oct1363513462060
9320706072382
10101421311024
113a015760110
12177a59603a8
139744110297
144ca1b1d26c
152988dddc4e
hex179d2e6430

101421311024 has 80 divisors (see below), whose sum is σ = 227823230880. Its totient is φ = 43227156480.

The previous prime is 101421310931. The next prime is 101421311039. The reversal of 101421311024 is 420113124101.

It is a junction number, because it is equal to n+sod(n) for n = 101421310987 and 101421311005.

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, 741842 + ... + 867854.

It is an arithmetic number, because the mean of its divisors is an integer number (2847790386).

Almost surely, 2101421311024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101421311024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113911615440).

101421311024 is an abundant number, since it is smaller than the sum of its proper divisors (126401919856).

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

101421311024 is a wasteful number, since it uses less digits than its factorization.

101421311024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126318 (or 126312 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101421311024 its reverse (420113124101), we get a palindrome (521534435125).

The spelling of 101421311024 in words is "one hundred one billion, four hundred twenty-one million, three hundred eleven thousand, twenty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 269 272 374 538 748 1076 1496 2152 2959 2992 4304 4573 5918 9146 11836 18292 23672 36584 47344 50303 73168 100606 126013 201212 252026 402424 504052 804848 1008104 1386143 2016208 2142221 2772286 4284442 5544572 8568884 11089144 17137768 22178288 23564431 33897497 34275536 47128862 67794994 94257724 135589988 188515448 271179976 372872467 377030896 542359952 576257449 745744934 1152514898 1491489868 2305029796 2982979736 4610059592 5965959472 6338831939 9220119184 12677663878 25355327756 50710655512 101421311024