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1009292009100 = 223523739019589
BaseRepresentation
bin11101010111111100111…
…11011101111010001100
310120111011021222101200020
432223332133131322030
5113014012223242400
62051355022302140
7132630124345404
oct16537637357214
93514137871606
101009292009100
1135a047032961
12143735a27950
13742393a968b
1436bc8551804
151b3c23c42a0
hexeafe7dde8c

1009292009100 has 72 divisors (see below), whose sum is σ = 2928047540880. Its totient is φ = 268422938880.

The previous prime is 1009292009087. The next prime is 1009292009177. The reversal of 1009292009100 is 19002929001.

It is a super-2 number, since 2×10092920091002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4397895 + ... + 4621694.

Almost surely, 21009292009100 is an apocalyptic number.

1009292009100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009292009100 is an abundant number, since it is smaller than the sum of its proper divisors (1918755531780).

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

1009292009100 is a wasteful number, since it uses less digits than its factorization.

1009292009100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9019979 (or 9019972 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The spelling of 1009292009100 in words is "one trillion, nine billion, two hundred ninety-two million, nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 373 746 1119 1492 1865 2238 3730 4476 5595 7460 9325 11190 18650 22380 27975 37300 55950 111900 9019589 18039178 27058767 36078356 45097945 54117534 90195890 108235068 135293835 180391780 225489725 270587670 450979450 541175340 676469175 901958900 1352938350 2705876700 3364306697 6728613394 10092920091 13457226788 16821533485 20185840182 33643066970 40371680364 50464600455 67286133940 84107667425 100929200910 168215334850 201858401820 252323002275 336430669700 504646004550 1009292009100