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101213140212 = 22323775985841
BaseRepresentation
bin101111001000011000…
…1011111010011110100
3100200020201101020202200
41132100301133103310
53124241030441322
6114255140504500
710212104332302
oct1362061372364
9320221336680
10101213140212
1139a191a7318
12177480ab130
13970cc54ba2
144c82211272
1529759bd8ac
hex1790c5f4f4

101213140212 has 36 divisors (see below), whose sum is σ = 262759041636. Its totient is φ = 32825882880.

The previous prime is 101213140211. The next prime is 101213140253. The reversal of 101213140212 is 212041312101.

101213140212 is a `hidden beast` number, since 101 + 213 + 140 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73578732516 + 27634407696 = 271254^2 + 166236^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (101213140211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37991589 + ... + 37994252.

Almost surely, 2101213140212 is an apocalyptic number.

101213140212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101213140212 is an abundant number, since it is smaller than the sum of its proper divisors (161545901424).

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

101213140212 is a wasteful number, since it uses less digits than its factorization.

101213140212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75985888 (or 75985883 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101213140212 its reverse (212041312101), we get a palindrome (313254452313).

The spelling of 101213140212 in words is "one hundred one billion, two hundred thirteen million, one hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 75985841 151971682 227957523 303943364 455915046 683872569 911830092 1367745138 2735490276 2811476117 5622952234 8434428351 11245904468 16868856702 25303285053 33737713404 50606570106 101213140212