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1222000011102 = 23131927128609
BaseRepresentation
bin10001110010000100111…
…000000110011101011110
311022211012021121110200110
4101302010320012131132
5130010124000323402
62333213513110450
7154200204466053
oct21620470063536
94284167543613
101222000011102
1143127a170052
121789b93b8426
138b307441a60
14432062ad02a
1521bc131c56c
hex11c84e0675e

1222000011102 has 144 divisors (see below), whose sum is σ = 2817819703440. Its totient is φ = 351152686080.

The previous prime is 1222000011061. The next prime is 1222000011103. The reversal of 1222000011102 is 2011100002221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222000011103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141940174 + ... + 141948782.

It is an arithmetic number, because the mean of its divisors is an integer number (19568192385).

Almost surely, 21222000011102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222000011102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408909851720).

1222000011102 is an abundant number, since it is smaller than the sum of its proper divisors (1595819692338).

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

1222000011102 is a wasteful number, since it uses less digits than its factorization.

1222000011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8807 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1222000011102 its reverse (2011100002221), we get a palindrome (3233100013323).

The spelling of 1222000011102 in words is "one trillion, two hundred twenty-two billion, eleven thousand, one hundred two".

Divisors: 1 2 3 6 13 19 26 38 39 57 71 78 114 142 213 247 361 426 494 722 741 923 1083 1349 1482 1846 2166 2698 2769 4047 4693 5041 5538 8094 8609 9386 10082 14079 15123 17218 17537 25631 25827 28158 30246 35074 51262 51654 52611 65533 76893 95779 105222 111917 131066 153786 163571 191558 196599 223834 287337 327142 333203 335751 393198 490713 574674 611239 666406 671502 981426 999609 1222478 1245127 1819801 1833717 1999218 2126423 2490254 3107849 3639602 3667434 3735381 4252846 5459403 6215698 6379269 7470762 7946107 9323547 10918806 11613541 12758538 15892214 18647094 23227082 23657413 23838321 34840623 40402037 43397969 47314826 47676642 69681246 70972239 80804074 86795938 121206111 130193907 141944478 150976033 220657279 242412222 260387814 301952066 441314558 452928099 564173597 661971837 824561411 905856198 1128347194 1323943674 1649122822 1692520791 2473684233 2868544627 3385041582 4947368466 5737089254 8605633881 10719298343 15666666809 17211267762 21438596686 31333333618 32157895029 47000000427 64315790058 94000000854 203666668517 407333337034 611000005551 1222000011102