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100214240430 = 23510613148421
BaseRepresentation
bin101110101010100111…
…0111111010010101110
3100120200002202212212110
41131111032333102232
53120214321143210
6114012054544450
710145254663113
oct1352516772256
9316602685773
10100214240430
1139556365107
1217509668126
1395b1011725
144bc96ac90a
152917e58420
hex17553bf4ae

100214240430 has 32 divisors (see below), whose sum is σ = 240740939808. Its totient is φ = 26698601600.

The previous prime is 100214240387. The next prime is 100214240443. The reversal of 100214240430 is 34042412001.

It is a junction number, because it is equal to n+sod(n) for n = 100214240397 and 100214240406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1542381 + ... + 1606040.

It is an arithmetic number, because the mean of its divisors is an integer number (7523154369).

Almost surely, 2100214240430 is an apocalyptic number.

100214240430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100214240430 is an abundant number, since it is smaller than the sum of its proper divisors (140526699378).

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

100214240430 is a wasteful number, since it uses less digits than its factorization.

100214240430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149492.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 100214240430 its reverse (34042412001), we get a palindrome (134256652431).

The spelling of 100214240430 in words is "one hundred billion, two hundred fourteen million, two hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 1061 2122 3183 5305 6366 10610 15915 31830 3148421 6296842 9445263 15742105 18890526 31484210 47226315 94452630 3340474681 6680949362 10021424043 16702373405 20042848086 33404746810 50107120215 100214240430