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122000101002 = 23213521367953
BaseRepresentation
bin111000110011111000…
…1011100111010001010
3102122220101201021021100
41301213301130322022
53444324011213002
6132013541322230
711546163514443
oct1614761347212
9378811637240
10122000101002
114781597065a
121b789706376
13b6736986a0
145c94c2a2ca
15329088811c
hex1c67c5ce8a

122000101002 has 24 divisors (see below), whose sum is σ = 284666902884. Its totient is φ = 37538492544.

The previous prime is 122000101001. The next prime is 122000101007. The reversal of 122000101002 is 200101000221.

122000101002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 85035808881 + 36964292121 = 291609^2 + 192261^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (122000101001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260683743 + ... + 260684210.

Almost surely, 2122000101002 is an apocalyptic number.

122000101002 is an abundant number, since it is smaller than the sum of its proper divisors (162666801882).

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

122000101002 is a wasteful number, since it uses less digits than its factorization.

122000101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521367974 (or 521367971 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122000101002 its reverse (200101000221), we get a palindrome (322101101223).

The spelling of 122000101002 in words is "one hundred twenty-two billion, one hundred one thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 521367953 1042735906 1564103859 3128207718 4692311577 6777783389 9384623154 13555566778 20333350167 40666700334 61000050501 122000101002