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133120301100 = 223523791170803
BaseRepresentation
bin111101111111010010…
…1101001100000101100
3110201121101022222001020
41323332211221200230
54140112244113400
6141053222014140
712421562614053
oct1737645514054
9421541288036
10133120301100
1151501a37576
1221971877350
13c72648a047
14662ba6939a
1536e1c6c2a0
hex1efe96982c

133120301100 has 72 divisors (see below), whose sum is σ = 386177991360. Its totient is φ = 35405052480.

The previous prime is 133120301089. The next prime is 133120301123. The reversal of 133120301100 is 1103021331.

133120301100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1331203011002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133120301100.

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, 471702 + ... + 699101.

Almost surely, 2133120301100 is an apocalyptic number.

133120301100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133120301100 is an abundant number, since it is smaller than the sum of its proper divisors (253057690260).

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

133120301100 is a wasteful number, since it uses less digits than its factorization.

133120301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171199 (or 1171192 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 133120301100 its reverse (1103021331), we get a palindrome (134223322431).

The spelling of 133120301100 in words is "one hundred thirty-three billion, one hundred twenty million, three hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 379 758 1137 1516 1895 2274 3790 4548 5685 7580 9475 11370 18950 22740 28425 37900 56850 113700 1170803 2341606 3512409 4683212 5854015 7024818 11708030 14049636 17562045 23416060 29270075 35124090 58540150 70248180 87810225 117080300 175620450 351240900 443734337 887468674 1331203011 1774937348 2218671685 2662406022 4437343370 5324812044 6656015055 8874686740 11093358425 13312030110 22186716850 26624060220 33280075275 44373433700 66560150550 133120301100