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1034218320030 = 232571641616381
BaseRepresentation
bin11110000110011000011…
…01110011000010011110
310122212111110020012002100
433003030031303002132
5113421034342220110
62111040251505530
7134501615450010
oct17031415630236
93585443205070
101034218320030
11369678309225
121485317582a6
13766ac58219c
14380b0bd61b0
151bd8088cbc0
hexf0cc37309e

1034218320030 has 48 divisors (see below), whose sum is σ = 3073105867104. Its totient is φ = 236392758720.

The previous prime is 1034218319987. The next prime is 1034218320041. The reversal of 1034218320030 is 300238124301.

1034218320030 is a `hidden beast` number, since 1 + 0 + 3 + 421 + 8 + 3 + 200 + 30 = 666.

1034218320030 is digitally balanced in base 2, 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 = 1034218319976 and 1034218320003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 820807561 + ... + 820808820.

It is an arithmetic number, because the mean of its divisors is an integer number (64023038898).

Almost surely, 21034218320030 is an apocalyptic number.

1034218320030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1034218320030 is an abundant number, since it is smaller than the sum of its proper divisors (2038887547074).

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

1034218320030 is a wasteful number, since it uses less digits than its factorization.

1034218320030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641616401 (or 1641616398 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 1034218320030 in words is "one trillion, thirty-four billion, two hundred eighteen million, three hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1641616381 3283232762 4924849143 8208081905 9849698286 11491314667 14774547429 16416163810 22982629334 24624245715 29549094858 34473944001 49248491430 57456573335 68947888002 73872737145 103421832003 114913146670 147745474290 172369720005 206843664006 344739440010 517109160015 1034218320030