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102012242212322 = 21310138999863773
BaseRepresentation
bin10111001100011110010011…
…011101011011010111100010
3111101012021102120001012102222
4113030132103131123113202
5101332332033001243242
61000543435504511042
730326066313552401
oct2714362335332742
9441167376035388
10102012242212322
112a560170303302
12b5367a561b482
1344bc936a88920
141b295c152d638
15bbd88c4145d2
hex5cc79375b5e2

102012242212322 has 32 divisors (see below), whose sum is σ = 166848399048240. Its totient is φ = 46496572243200.

The previous prime is 102012242212297. The next prime is 102012242212379. The reversal of 102012242212322 is 223212242210201.

It is a Cunningham number, because it is equal to 101001112+1.

It can be written as a sum of positive squares in 8 ways, for example, as 24081112377001 + 77931129835321 = 4907251^2 + 8827861^2 .

It is a super-2 number, since 2×1020122422123222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 102012242212291 and 102012242212300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48910373 + ... + 50953400.

Almost surely, 2102012242212322 is an apocalyptic number.

102012242212322 is a deficient number, since it is larger than the sum of its proper divisors (64836156835918).

102012242212322 is a wasteful number, since it uses less digits than its factorization.

102012242212322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99864278.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 102012242212322 its reverse (223212242210201), we get a palindrome (325224484422523).

The spelling of 102012242212322 in words is "one hundred two trillion, twelve billion, two hundred forty-two million, two hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 13 26 101 202 389 778 1313 2626 5057 10114 39289 78578 510757 1021514 99863773 199727546 1298229049 2596458098 10086241073 20172482146 38847007697 77694015394 131121133949 262242267898 505011100061 1010022200122 3923547777397 7847095554794 51006121106161 102012242212322