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1022013201001 = 131071495749123
BaseRepresentation
bin11101101111101001011…
…10111101101001101001
310121200222212010220022211
432313310232331221221
5113221040334413001
62101301213445121
7133560303605422
oct16676456755151
93550885126284
101022013201001
113644848986a1
121460a61a07a1
13754b5a90370
1437673c62649
151b8b9101351
hexedf4bbda69

1022013201001 has 16 divisors (see below), whose sum is σ = 1111012749504. Its totient is φ = 934498499904.

The previous prime is 1022013200959. The next prime is 1022013201029. The reversal of 1022013201001 is 1001023102201.

It is a cyclic number.

It is not a de Polignac number, because 1022013201001 - 215 = 1022013168233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022013201061) 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, 20780626 + ... + 20829748.

It is an arithmetic number, because the mean of its divisors is an integer number (69438296844).

Almost surely, 21022013201001 is an apocalyptic number.

It is an amenable number.

1022013201001 is a deficient number, since it is larger than the sum of its proper divisors (88999548503).

1022013201001 is a wasteful number, since it uses less digits than its factorization.

1022013201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64200.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1022013201001 its reverse (1001023102201), we get a palindrome (2023036303202).

The spelling of 1022013201001 in words is "one trillion, twenty-two billion, thirteen million, two hundred one thousand, one".

Divisors: 1 13 107 1391 14957 49123 194441 638599 1600399 5256161 20805187 68330093 734732711 9551525243 78616400077 1022013201001