Search a number
-
+
100099029912 = 2337797542121
BaseRepresentation
bin101110100111001011…
…1011111101110011000
3100120101001222120202020
41131032113133232120
53120000322424122
6113552421334440
710142355500310
oct1351627375630
9316331876666
10100099029912
11394a7324802
1217496b67420
1395931a381b
144bb827c440
15290cc9bc5c
hex174e5dfb98

100099029912 has 64 divisors (see below), whose sum is σ = 289617484800. Its totient is φ = 28237697280.

The previous prime is 100099029907. The next prime is 100099029913. The reversal of 100099029912 is 219920990001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100099029913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3757789 + ... + 3784332.

It is an arithmetic number, because the mean of its divisors is an integer number (4525273200).

Almost surely, 2100099029912 is an apocalyptic number.

100099029912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100099029912 is an abundant number, since it is smaller than the sum of its proper divisors (189518454888).

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

100099029912 is a wasteful number, since it uses less digits than its factorization.

100099029912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7542216 (or 7542212 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 42.

The spelling of 100099029912 in words is "one hundred billion, ninety-nine million, twenty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 553 632 948 1106 1659 1896 2212 3318 4424 6636 13272 7542121 15084242 22626363 30168484 45252726 52794847 60336968 90505452 105589694 158384541 181010904 211179388 316769082 422358776 595827559 633538164 1191655118 1267076328 1787482677 2383310236 3574965354 4170792913 4766620472 7149930708 8341585826 12512378739 14299861416 16683171652 25024757478 33366343304 50049514956 100099029912