Search a number
-
+
102001212012 = 22372601128859
BaseRepresentation
bin101111011111110111…
…1101111101001101100
3100202021122021110001010
41132333233233221230
53132344302241022
6114505251545220
710240453665600
oct1367757575154
9322248243033
10102001212012
113a293030327
1217927bbb210
1398072bc66b
144d18b53500
1529bec8b50c
hex17bfbefa6c

102001212012 has 72 divisors (see below), whose sum is σ = 276916086720. Its totient is φ = 29137345440.

The previous prime is 102001212011. The next prime is 102001212023. The reversal of 102001212012 is 210212100201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102001212011) 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, 3520039 + ... + 3548897.

It is an arithmetic number, because the mean of its divisors is an integer number (3846056760).

Almost surely, 2102001212012 is an apocalyptic number.

102001212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102001212012 is an abundant number, since it is smaller than the sum of its proper divisors (174914874708).

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

102001212012 is a wasteful number, since it uses less digits than its factorization.

102001212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34891 (or 34882 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102001212012 its reverse (210212100201), we get a palindrome (312213312213).

The spelling of 102001212012 in words is "one hundred two billion, one million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 6011 12022 18033 24044 28859 36066 42077 57718 72132 84154 86577 115436 126231 168308 173154 202013 252462 294539 346308 404026 504924 589078 606039 808052 883617 1178156 1212078 1414091 1767234 2424156 2828182 3534468 4242273 5656364 8484546 16969092 173471449 346942898 520414347 693885796 1040828694 1214300143 2081657388 2428600286 3642900429 4857200572 7285800858 8500101001 14571601716 17000202002 25500303003 34000404004 51000606006 102001212012