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1022412142201 = 19139942319091
BaseRepresentation
bin11101110000011001000…
…00110011011001111001
310121202000122211012202211
432320030200303121321
5113222400002022301
62101404544255121
7133603216550332
oct16701440633171
93552018735684
101022412142201
1136466a00006a
121461979114a1
137554a620a48
14376b0c2d289
151b8de156051
hexee0c833679

1022412142201 has 16 divisors (see below), whose sum is σ = 1077365632000. Its totient is φ = 967573414800.

The previous prime is 1022412142177. The next prime is 1022412142217.

1022412142201 is nontrivially palindromic in base 10.

1022412142201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022412142201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022412140201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112459666 + ... + 112468756.

It is an arithmetic number, because the mean of its divisors is an integer number (67335352000).

Almost surely, 21022412142201 is an apocalyptic number.

It is an amenable number.

1022412142201 is a deficient number, since it is larger than the sum of its proper divisors (54953489799).

1022412142201 is a wasteful number, since it uses less digits than its factorization.

1022412142201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14740.

The product of its (nonzero) digits is 512, while the sum is 22.

The spelling of 1022412142201 in words is "one trillion, twenty-two billion, four hundred twelve million, one hundred forty-two thousand, two hundred one".

Divisors: 1 19 1399 4231 9091 26581 80389 172729 5919169 12718309 38464021 112464211 241647871 730816399 53811165379 1022412142201