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1000122100002 = 232317175275517
BaseRepresentation
bin11101000110110111110…
…11000010100100100010
310112121111020011202012100
432203123323002210202
5112341222224200002
62043241051311230
7132153646404504
oct16433373024442
93477436152170
101000122100002
11356170941493
121419b6a4b516
137340767956c
143659874bd74
151b03733411c
hexe8dbec2922

1000122100002 has 24 divisors (see below), whose sum is σ = 2173766974236. Its totient is φ = 332322378336.

The previous prime is 1000122099931. The next prime is 1000122100009. The reversal of 1000122100002 is 2000012210001.

1000122100002 is digitally balanced in base 2, 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 818679326481 + 181442773521 = 904809^2 + 425961^2 .

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 (1000122100009) 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, 87632053 + ... + 87643464.

Almost surely, 21000122100002 is an apocalyptic number.

1000122100002 is an abundant number, since it is smaller than the sum of its proper divisors (1173644874234).

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

1000122100002 is a wasteful number, since it uses less digits than its factorization.

1000122100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175275842 (or 175275839 counting only the distinct ones).

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

Adding to 1000122100002 its reverse (2000012210001), we get a palindrome (3000134310003).

The spelling of 1000122100002 in words is "one trillion, one hundred twenty-two million, one hundred thousand, two".

Divisors: 1 2 3 6 9 18 317 634 951 1902 2853 5706 175275517 350551034 525826551 1051653102 1577479653 3154959306 55562338889 111124677778 166687016667 333374033334 500061050001 1000122100002