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133020345032370 = 232510131459036361
BaseRepresentation
bin11110001111101100110110…
…011010011101111010110010
3122102222121202120001021220100
4132033230312122131322302
5114413401131312013440
61150524411454053230
740006255103656665
oct3617546632357262
9572877676037810
10133020345032370
113942567aa34944
1212b042984aa216
13592b9c30c6a83
1424bc30d1136dc
15105a26eeb0230
hex78fb3669deb2

133020345032370 has 48 divisors (see below), whose sum is σ = 346194311829912. Its totient is φ = 35437075111680.

The previous prime is 133020345032369. The next prime is 133020345032383. The reversal of 133020345032370 is 73230543020331.

133020345032370 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 203 + 4 + 50 + 32 + 370 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51314600423241 + 81705744609129 = 7163421^2 + 9039123^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729427011 + ... + 729609350.

Almost surely, 2133020345032370 is an apocalyptic number.

133020345032370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133020345032370 is an abundant number, since it is smaller than the sum of its proper divisors (213173966797542).

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

133020345032370 is a wasteful number, since it uses less digits than its factorization.

133020345032370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459037387 (or 1459037384 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 36.

The spelling of 133020345032370 in words is "one hundred thirty-three trillion, twenty billion, three hundred forty-five million, thirty-two thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1013 2026 3039 5065 6078 9117 10130 15195 18234 30390 45585 91170 1459036361 2918072722 4377109083 7295181805 8754218166 13131327249 14590363610 21885545415 26262654498 43771090830 65656636245 131313272490 1478003833693 2956007667386 4434011501079 7390019168465 8868023002158 13302034503237 14780038336930 22170057505395 26604069006474 44340115010790 66510172516185 133020345032370