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101420002212 = 22388713217213
BaseRepresentation
bin101111001110100011…
…0100110101110100100
3100200210010121221002020
41132131012212232210
53130202010032322
6114331450343140
710220165536434
oct1363506465644
9320703557066
10101420002212
113a014a46851
12177a542aab0
139743a72639
144ca189c2c4
152988c3105c
hex179d1a6ba4

101420002212 has 48 divisors (see below), whose sum is σ = 237125680512. Its totient is φ = 33738312960.

The previous prime is 101420002193. The next prime is 101420002247. The reversal of 101420002212 is 212200024101.

101420002212 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101420002191 and 101420002200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14057118 + ... + 14064330.

It is an arithmetic number, because the mean of its divisors is an integer number (4940118344).

Almost surely, 2101420002212 is an apocalyptic number.

101420002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101420002212 is an abundant number, since it is smaller than the sum of its proper divisors (135705678300).

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

101420002212 is a wasteful number, since it uses less digits than its factorization.

101420002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9428 (or 9426 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101420002212 its reverse (212200024101), we get a palindrome (313620026313).

The spelling of 101420002212 in words is "one hundred one billion, four hundred twenty million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 887 1321 1774 2642 2661 3548 3963 5284 5322 7213 7926 10644 14426 15852 21639 28852 43278 86556 1171727 2343454 3515181 4686908 6397931 7030362 9528373 12795862 14060724 19056746 19193793 25591724 28585119 38113492 38387586 57170238 76775172 114340476 8451666851 16903333702 25355000553 33806667404 50710001106 101420002212