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100342404312 = 233311311029533
BaseRepresentation
bin101110101110011011…
…1111001010011011000
3100121000000221021122220
41131130313321103120
53121000123414222
6114032513544040
710151402235543
oct1353467712330
9317000837586
10100342404312
1139611742577
1217544575020
139601736547
144bdc71185a
152924322b5c
hex175cdf94d8

100342404312 has 64 divisors (see below), whose sum is σ = 260925096960. Its totient is φ = 32121398400.

The previous prime is 100342404311. The next prime is 100342404317. The reversal of 100342404312 is 213404243001.

It is a super-2 number, since 2×1003424043122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100342404311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417303 + ... + 612230.

It is an arithmetic number, because the mean of its divisors is an integer number (4076954640).

Almost surely, 2100342404312 is an apocalyptic number.

100342404312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100342404312 is an abundant number, since it is smaller than the sum of its proper divisors (160582692648).

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

100342404312 is a wasteful number, since it uses less digits than its factorization.

100342404312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029704 (or 1029700 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100342404312 its reverse (213404243001), we get a palindrome (313746647313).

The spelling of 100342404312 in words is "one hundred billion, three hundred forty-two million, four hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 131 186 248 262 372 393 524 744 786 1048 1572 3144 4061 8122 12183 16244 24366 32488 48732 97464 1029533 2059066 3088599 4118132 6177198 8236264 12354396 24708792 31915523 63831046 95746569 127662092 134868823 191493138 255324184 269737646 382986276 404606469 539475292 765972552 809212938 1078950584 1618425876 3236851752 4180933513 8361867026 12542800539 16723734052 25085601078 33447468104 50171202156 100342404312