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100214134020 = 22325711131732717
BaseRepresentation
bin101110101010100111…
…0100101010100000100
3100120200002120110220100
41131111032211110010
53120214304242040
6114012052404100
710145254040640
oct1352516452404
9316602513810
10100214134020
11395562a2170
1217509616630
1395b0ca5170
144bc9681c20
152917e36b30
hex17553a5504

100214134020 has 576 divisors, whose sum is σ = 432166565376. Its totient is φ = 18090639360.

The previous prime is 100214133961. The next prime is 100214134063. The reversal of 100214134020 is 20431412001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100214133984 and 100214134002.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3046702 + ... + 3079418.

It is an arithmetic number, because the mean of its divisors is an integer number (750289176).

Almost surely, 2100214134020 is an apocalyptic number.

100214134020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100214134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216083282688).

100214134020 is an abundant number, since it is smaller than the sum of its proper divisors (331952431356).

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

100214134020 is a wasteful number, since it uses less digits than its factorization.

100214134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32780 (or 32775 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100214134020 its reverse (20431412001), we get a palindrome (120645546021).

The spelling of 100214134020 in words is "one hundred billion, two hundred fourteen million, one hundred thirty-four thousand, twenty".