Search a number
-
+
102120122202112 = 211756312652459
BaseRepresentation
bin10111001110000010110001…
…100110111011100000000000
3111101120120212220021111112101
4113032002301212323200000
5101341114002240431422
61001105200403240144
730336635553415150
oct2716026146734000
9441516786244471
10102120122202112
112a5a199a798363
12b553692379054
1344c9b69caca01
141b308d6d38760
15bc15a3340c27
hex5ce0b19bb800

102120122202112 has 96 divisors (see below), whose sum is σ = 233774948534400. Its totient is φ = 43688026497024.

The previous prime is 102120122202107. The next prime is 102120122202139. The reversal of 102120122202112 is 211202221021201.

It is a self number, because there is not a number n which added to its sum of digits gives 102120122202112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1744939 + ... + 14397397.

It is an arithmetic number, because the mean of its divisors is an integer number (2435155713900).

Almost surely, 2102120122202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120122202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116887474267200).

102120122202112 is an abundant number, since it is smaller than the sum of its proper divisors (131654826332288).

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

102120122202112 is an equidigital number, since it uses as much as digits as its factorization.

102120122202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12653051 (or 12653031 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102120122202112 its reverse (211202221021201), we get a palindrome (313322343223313).

The spelling of 102120122202112 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 563 896 1024 1126 1792 2048 2252 3584 3941 4504 7168 7882 9008 14336 15764 18016 31528 36032 63056 72064 126112 144128 252224 288256 504448 576512 1008896 1153024 2017792 4035584 8071168 12652459 25304918 50609836 88567213 101219672 177134426 202439344 354268852 404878688 708537704 809757376 1417075408 1619514752 2834150816 3239029504 5668301632 6478059008 7123334417 11336603264 12956118016 14246668834 22673206528 25912236032 28493337668 45346413056 49863340919 56986675336 90692826112 99726681838 113973350672 181385652224 199453363676 227946701344 398906727352 455893402688 797813454704 911786805376 1595626909408 1823573610752 3191253818816 3647147221504 6382507637632 7294294443008 12765015275264 14588588886016 25530030550528 51060061101056 102120122202112