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100214021334 = 23722271107137
BaseRepresentation
bin101110101010100111…
…0001001110011010110
3100120200002100202022210
41131111032021303112
53120214242140314
6114012050134250
710145253061260
oct1352516116326
9316602322283
10100214021334
1139556225539
1217509581386
1395b0c65a9b
144bc9652b30
152917e13559
hex1755389cd6

100214021334 has 32 divisors (see below), whose sum is σ = 229073043456. Its totient is φ = 28631024640.

The previous prime is 100214021329. The next prime is 100214021351. The reversal of 100214021334 is 433120412001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 100214021334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881814 + ... + 988950.

It is an arithmetic number, because the mean of its divisors is an integer number (7158532608).

Almost surely, 2100214021334 is an apocalyptic number.

100214021334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100214021334 is an abundant number, since it is smaller than the sum of its proper divisors (128859022122).

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

100214021334 is a wasteful number, since it uses less digits than its factorization.

100214021334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129420.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100214021334 its reverse (433120412001), we get a palindrome (533334433335).

The spelling of 100214021334 in words is "one hundred billion, two hundred fourteen million, twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 22271 44542 66813 107137 133626 155897 214274 311794 321411 467691 642822 749959 935382 1499918 2249877 4499754 2386048127 4772096254 7158144381 14316288762 16702336889 33404673778 50107010667 100214021334