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100123434444 = 223112692819743
BaseRepresentation
bin101110100111111010…
…0100101110111001100
3100120102202220110110210
41131033310211313030
53120023044400234
6113555052402420
710143103102455
oct1351764456714
9316382813423
10100123434444
113950a083240
12174a3176410
139598269987
144bbb5d212c
15290eebcbe9
hex174fd25dcc

100123434444 has 48 divisors (see below), whose sum is σ = 255807175680. Its totient is φ = 30227634240.

The previous prime is 100123434431. The next prime is 100123434457. The reversal of 100123434444 is 444434321001.

It is an interprime number because it is at equal distance from previous prime (100123434431) and next prime (100123434457).

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, 1374364 + ... + 1445379.

It is an arithmetic number, because the mean of its divisors is an integer number (5329316160).

Almost surely, 2100123434444 is an apocalyptic number.

It is an amenable number.

100123434444 is an abundant number, since it is smaller than the sum of its proper divisors (155683741236).

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

100123434444 is a wasteful number, since it uses less digits than its factorization.

100123434444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820030 (or 2820028 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 100123434444 its reverse (444434321001), we get a palindrome (544557755445).

The spelling of 100123434444 in words is "one hundred billion, one hundred twenty-three million, four hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 269 538 807 1076 1614 2959 3228 5918 8877 11836 17754 35508 2819743 5639486 8459229 11278972 16918458 31017173 33836916 62034346 93051519 124068692 186103038 372206076 758510867 1517021734 2275532601 3034043468 4551065202 8343619537 9102130404 16687239074 25030858611 33374478148 50061717222 100123434444