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133135220100 = 223521972252711
BaseRepresentation
bin111101111111101111…
…0100011110110000100
3110201122102101221001210
41323333132203312010
54140130104020400
6141054513451420
712422133461511
oct1737736436604
9421572357053
10133135220100
115150a3a7423
1221976870b70
13c7295b185c
14662da30308
1536e3217950
hex1eff7a3d84

133135220100 has 72 divisors (see below), whose sum is σ = 387160095168. Its totient is φ = 35322492800.

The previous prime is 133135220069. The next prime is 133135220107. The reversal of 133135220100 is 1022531331.

It is not an unprimeable number, because it can be changed into a prime (133135220107) 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, 1067256 + ... + 1185455.

It is an arithmetic number, because the mean of its divisors is an integer number (5377223544).

Almost surely, 2133135220100 is an apocalyptic number.

133135220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133135220100 is an abundant number, since it is smaller than the sum of its proper divisors (254024875068).

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

133135220100 is a wasteful number, since it uses less digits than its factorization.

133135220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252925 (or 2252918 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 133135220100 its reverse (1022531331), we get a palindrome (134157751431).

The spelling of 133135220100 in words is "one hundred thirty-three billion, one hundred thirty-five million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 394 591 788 985 1182 1970 2364 2955 3940 4925 5910 9850 11820 14775 19700 29550 59100 2252711 4505422 6758133 9010844 11263555 13516266 22527110 27032532 33790665 45054220 56317775 67581330 112635550 135162660 168953325 225271100 337906650 443784067 675813300 887568134 1331352201 1775136268 2218920335 2662704402 4437840670 5325408804 6656761005 8875681340 11094601675 13313522010 22189203350 26627044020 33283805025 44378406700 66567610050 133135220100