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2012400342108 = 2234132314379349
BaseRepresentation
bin11101010010001100011…
…010000101010001011100
321010101100122021111110000
4131102030122011101130
5230432343441421413
64140252311214300
7265251104446662
oct35221432052134
97111318244400
102012400342108
117064aa591402
12286024977390
131179cb62a100
146d587720c32
153753197d073
hex1d48c68545c

2012400342108 has 720 divisors, whose sum is σ = 6110759424000. Its totient is φ = 576225861120.

The previous prime is 2012400342091. The next prime is 2012400342143. The reversal of 2012400342108 is 8012430042102.

2012400342108 is a `hidden beast` number, since 2 + 0 + 12 + 400 + 34 + 210 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5766189918 + ... + 5766190266.

Almost surely, 22012400342108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012400342108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055379712000).

2012400342108 is an abundant number, since it is smaller than the sum of its proper divisors (4098359081892).

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

2012400342108 is a wasteful number, since it uses less digits than its factorization.

2012400342108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 2012400342108 in words is "two trillion, twelve billion, four hundred million, three hundred forty-two thousand, one hundred eight".