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102013213212 = 22331078827727
BaseRepresentation
bin101111100000001110…
…1100001101000011100
3100202022110212011121000
41133000131201220130
53132410340310322
6114510401110300
710240661001531
oct1370035415034
9322273764530
10102013213212
113a299887a79
1217930028390
139809932071
144d1a598d88
1529c0d5c3ac
hex17c0761a1c

102013213212 has 48 divisors (see below), whose sum is σ = 266950494720. Its totient is φ = 33686602416.

The previous prime is 102013213193. The next prime is 102013213213. The reversal of 102013213212 is 212312310201.

102013213212 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 321 + 321 + 2 = 666.

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 (102013213213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4402308 + ... + 4425419.

It is an arithmetic number, because the mean of its divisors is an integer number (5561468640).

Almost surely, 2102013213212 is an apocalyptic number.

102013213212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102013213212 is an abundant number, since it is smaller than the sum of its proper divisors (164937281508).

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

102013213212 is a wasteful number, since it uses less digits than its factorization.

102013213212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8827847 (or 8827839 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102013213212 its reverse (212312310201), we get a palindrome (314325523413).

The spelling of 102013213212 in words is "one hundred two billion, thirteen million, two hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1284 1926 2889 3852 5778 11556 8827727 17655454 26483181 35310908 52966362 79449543 105932724 158899086 238348629 317798172 476697258 944566789 953394516 1889133578 2833700367 3778267156 5667400734 8501101101 11334801468 17002202202 25503303303 34004404404 51006606606 102013213212