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100212191000 = 2353167600073
BaseRepresentation
bin101110101010100011…
…1001010111100011000
3100120122221220202120122
41131111013022330120
53120213310103000
6114011543012412
710145231366105
oct1352507127430
9316587822518
10100212191000
1139555195369
1217508a3a108
1395b077494c
144bc92d7aac
152917ba1085
hex17551caf18

100212191000 has 64 divisors (see below), whose sum is σ = 235901090880. Its totient is φ = 39844780800.

The previous prime is 100212190999. The next prime is 100212191047. The reversal of 100212191000 is 191212001.

It is a self number, because there is not a number n which added to its sum of digits gives 100212191000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133037 + ... + 467036.

It is an arithmetic number, because the mean of its divisors is an integer number (3685954545).

Almost surely, 2100212191000 is an apocalyptic number.

100212191000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212191000 is an abundant number, since it is smaller than the sum of its proper divisors (135688899880).

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

100212191000 is a wasteful number, since it uses less digits than its factorization.

100212191000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600261 (or 600247 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 100212191000 in words is "one hundred billion, two hundred twelve million, one hundred ninety-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 167 200 250 334 500 668 835 1000 1336 1670 3340 4175 6680 8350 16700 20875 33400 41750 83500 167000 600073 1200146 2400292 3000365 4800584 6000730 12001460 15001825 24002920 30003650 60007300 75009125 100212191 120014600 150018250 200424382 300036500 400848764 501060955 600073000 801697528 1002121910 2004243820 2505304775 4008487640 5010609550 10021219100 12526523875 20042438200 25053047750 50106095500 100212191000