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120133222331021 = 4773137409162473
BaseRepresentation
bin11011010100001010110010…
…000010101111001010001101
3120202100121211211002122201122
4123110022302002233022031
5111221230314404043041
61103300235045450325
734206224145256454
oct3324126202571215
9522317754078648
10120133222331021
1135307239159329
12115827591109a5
13520568ba8b443
14219469c497b9b
15dd4e1a328c4b
hex6d42b20af28d

120133222331021 has 32 divisors (see below), whose sum is σ = 125310361195008. Its totient is φ = 115090096527360.

The previous prime is 120133222330997. The next prime is 120133222331063.

120133222331021 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-120133222331021 is a prime.

It is a super-2 number, since 2×1201332223310212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120133222331921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1922931041 + ... + 1922993513.

It is an arithmetic number, because the mean of its divisors is an integer number (3915948787344).

Almost surely, 2120133222331021 is an apocalyptic number.

It is an amenable number.

120133222331021 is a deficient number, since it is larger than the sum of its proper divisors (5177138863987).

120133222331021 is a wasteful number, since it uses less digits than its factorization.

120133222331021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66821.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 120133222331021 in words is "one hundred twenty trillion, one hundred thirty-three billion, two hundred twenty-two million, three hundred thirty-one thousand, twenty-one".

Divisors: 1 47 73 137 3431 4091 6439 10001 62473 192277 298643 470047 560467 2936231 4560529 8558801 14036221 26341949 40914091 214344863 255577043 402263647 624792473 1922962277 12012121021 18657124139 29365246231 35014054891 876884834533 1645660579877 2556026007043 120133222331021