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1009093939300 = 225241607940487
BaseRepresentation
bin11101010111100101010…
…11111001000001100100
310120110122111021101222201
432223302223321001210
5113013111022024200
62051323225104244
7132622200650416
oct16536253710144
93513574241881
101009093939300
11359a55249107
1214369b628084
1374207349b05
1436baa1129b6
151b3aecebc6a
hexeaf2af9064

1009093939300 has 72 divisors (see below), whose sum is σ = 2243566402560. Its totient is φ = 393718252800.

The previous prime is 1009093939283. The next prime is 1009093939303. The reversal of 1009093939300 is 39393909001.

It is not an unprimeable number, because it can be changed into a prime (1009093939303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24903657 + ... + 24944143.

It is an arithmetic number, because the mean of its divisors is an integer number (31160644480).

Almost surely, 21009093939300 is an apocalyptic number.

1009093939300 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 1009093939300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121783201280).

1009093939300 is an abundant number, since it is smaller than the sum of its proper divisors (1234472463260).

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

1009093939300 is a wasteful number, since it uses less digits than its factorization.

1009093939300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46621 (or 46614 counting only the distinct ones).

The product of its (nonzero) digits is 177147, while the sum is 46.

The spelling of 1009093939300 in words is "one trillion, nine billion, ninety-three million, nine hundred thirty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 6079 12158 24316 30395 40487 60790 80974 121580 151975 161948 202435 249239 303950 404870 498478 607900 809740 996956 1012175 1246195 1659967 2024350 2492390 3319934 4048700 4984780 6230975 6639868 8299835 12461950 16599670 24923900 33199340 41499175 82998350 165996700 246120473 492240946 984481892 1230602365 2461204730 4922409460 6153011825 10090939393 12306023650 20181878786 24612047300 40363757572 50454696965 100909393930 201818787860 252273484825 504546969650 1009093939300