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100053113544 = 2335337152723
BaseRepresentation
bin101110100101110100…
…0010101101011001000
3100120020212120210100000
41131023220111223020
53114402044113134
6113544101243000
710141260301326
oct1351350255310
9316225523300
10100053113544
113948341309a
1217483703460
139586818087
144bb2128d16
152908c2be99
hex174ba15ac8

100053113544 has 96 divisors (see below), whose sum is σ = 281849087520. Its totient is φ = 33251855616.

The previous prime is 100053113519. The next prime is 100053113621. The reversal of 100053113544 is 445311350001.

It is a happy number.

100053113544 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 3 + 113 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578767 + ... + 731489.

It is an arithmetic number, because the mean of its divisors is an integer number (2935927995).

Almost surely, 2100053113544 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 100053113544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140924543760).

100053113544 is an abundant number, since it is smaller than the sum of its proper divisors (181795973976).

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

100053113544 is a wasteful number, since it uses less digits than its factorization.

100053113544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153081 (or 153065 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 100053113544 its reverse (445311350001), we get a palindrome (545364463545).

The spelling of 100053113544 in words is "one hundred billion, fifty-three million, one hundred thirteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 337 486 648 674 972 1011 1348 1944 2022 2696 3033 4044 6066 8088 9099 12132 18198 24264 27297 36396 54594 72792 81891 109188 152723 163782 218376 305446 327564 458169 610892 655128 916338 1221784 1374507 1832676 2749014 3665352 4123521 5498028 8247042 10996056 12370563 16494084 24741126 32988168 37111689 49482252 51467651 74223378 98964504 102935302 148446756 154402953 205870604 296893512 308805906 411741208 463208859 617611812 926417718 1235223624 1389626577 1852835436 2779253154 3705670872 4168879731 5558506308 8337759462 11117012616 12506639193 16675518924 25013278386 33351037848 50026556772 100053113544