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2111122090 = 257112281887
BaseRepresentation
bin111110111010101…
…0010101010101010
312110010110010002001
41331311102222222
513310421401330
6545252401214
7103213145620
oct17565225252
95403403061
102111122090
11993745300
124ab01620a
132784b338c
14160543510
15c55129ca
hex7dd52aaa

2111122090 has 96 divisors (see below), whose sum is σ = 4795967232. Its totient is φ = 654931200.

The previous prime is 2111122081. The next prime is 2111122147. The reversal of 2111122090 is 902211112.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2379627 + ... + 2380513.

It is an arithmetic number, because the mean of its divisors is an integer number (49957992).

Almost surely, 22111122090 is an apocalyptic number.

2111122090 is an abundant number, since it is smaller than the sum of its proper divisors (2684845142).

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

2111122090 is a wasteful number, since it uses less digits than its factorization.

2111122090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 2111122090 is about 45946.9486473259. The cubic root of 2111122090 is about 1282.8359342252.

It can be divided in two parts, 21 and 11122090, that added together give a palindrome (11122111).

The spelling of 2111122090 in words is "two billion, one hundred eleven million, one hundred twenty-two thousand, ninety".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 121 154 242 281 385 562 605 770 847 887 1210 1405 1694 1774 1967 2810 3091 3934 4235 4435 6182 6209 8470 8870 9757 9835 12418 15455 19514 19670 21637 30910 31045 34001 43274 48785 62090 68002 68299 97570 107327 108185 136598 170005 214654 216370 238007 249247 340010 341495 476014 498494 536635 682990 751289 1073270 1190035 1246235 1502578 1744729 2380070 2492470 2741717 3489458 3756445 5483434 7512890 8723645 13708585 17447290 19192019 27417170 30158887 38384038 60317774 95960095 150794435 191920190 211112209 301588870 422224418 1055561045 2111122090