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133021132112001 = 3729233722349893
BaseRepresentation
bin11110001111101101100101…
…010100111100000010000001
3122102222200210102002002011210
4132033231211110330002001
5114413404234310041001
61150525021532000333
740006313442021540
oct3617554524740201
9572880712062153
10133021132112001
1139425a44250481
1212b044780000a9
13592baba1a4a73
1424bc385878157
15105a2b9133dd6
hex78fb6553c081

133021132112001 has 48 divisors (see below), whose sum is σ = 210552451001984. Its totient is φ = 73173188809728.

The previous prime is 133021132111963. The next prime is 133021132112039. The reversal of 133021132112001 is 100211231120331.

It is an interprime number because it is at equal distance from previous prime (133021132111963) and next prime (133021132112039).

It is not a de Polignac number, because 133021132112001 - 229 = 133020595241089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (133021132114001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5223190 + ... + 17126703.

Almost surely, 2133021132112001 is an apocalyptic number.

It is an amenable number.

133021132112001 is a deficient number, since it is larger than the sum of its proper divisors (77531318889983).

133021132112001 is a wasteful number, since it uses less digits than its factorization.

133021132112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22350298 (or 22350269 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 133021132112001 its reverse (100211231120331), we get a palindrome (233232363232332).

The spelling of 133021132112001 in words is "one hundred thirty-three trillion, twenty-one billion, one hundred thirty-two million, one hundred twelve thousand, one".

Divisors: 1 3 7 21 29 87 203 337 609 841 1011 2359 2523 5887 7077 9773 17661 29319 68411 205233 283417 850251 1983919 5951757 22349893 67049679 156449251 469347753 648146897 1944440691 4537028279 7531913941 13611084837 18796260013 22595741823 52723397587 56388780039 131573820091 158170192761 218425504289 394721460273 655276512867 1528978530023 4586935590069 6334339624381 19003018873143 44340377370667 133021132112001