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100113140340 = 223253117941423
BaseRepresentation
bin101110100111100110…
…1010100101001110100
3100120102001112110121200
41131033031110221310
53120012430442330
6113554044012500
710142616436503
oct1351715245164
9316361473550
10100113140340
1139504292114
121749b831130
1395960a42a5
144bba0b283a
15290e137a60
hex174f354a74

100113140340 has 72 divisors (see below), whose sum is σ = 313472560128. Its totient is φ = 25835647680.

The previous prime is 100113140287. The next prime is 100113140341. The reversal of 100113140340 is 43041311001.

100113140340 is a `hidden beast` number, since 1 + 0 + 0 + 11 + 314 + 0 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113140341) 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, 8965132 + ... + 8976291.

Almost surely, 2100113140340 is an apocalyptic number.

100113140340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100113140340 is an abundant number, since it is smaller than the sum of its proper divisors (213359419788).

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

100113140340 is a wasteful number, since it uses less digits than its factorization.

100113140340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17941469 (or 17941464 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100113140340 its reverse (43041311001), we get a palindrome (143154451341).

The spelling of 100113140340 in words is "one hundred billion, one hundred thirteen million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 17941423 35882846 53824269 71765692 89707115 107648538 161472807 179414230 215297076 269121345 322945614 358828460 538242690 556184113 645891228 807364035 1076485380 1112368226 1614728070 1668552339 2224736452 2780920565 3229456140 3337104678 5005657017 5561841130 6674209356 8342761695 10011314034 11123682260 16685523390 20022628068 25028285085 33371046780 50056570170 100113140340