Search a number
-
+
1122112202211 = 337111360768399
BaseRepresentation
bin10000010101000011000…
…110010110010111100011
310222021100221002000201000
4100111003012112113203
5121341041210432321
62215254034443043
7144032662226250
oct20250306262743
93867327060630
101122112202211
113a29810a2880
12161581133483
1381a78c53ab0
143c44c0d4427
151e2c6d94826
hex105431965e3

1122112202211 has 128 divisors (see below), whose sum is σ = 2235727872000. Its totient is φ = 537181476480.

The previous prime is 1122112202191. The next prime is 1122112202213. The reversal of 1122112202211 is 1122022112211.

1122112202211 is a `hidden beast` number, since 1 + 1 + 221 + 1 + 220 + 221 + 1 = 666.

It is not a de Polignac number, because 1122112202211 - 26 = 1122112202147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1122112202213) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16371190 + ... + 16439588.

It is an arithmetic number, because the mean of its divisors is an integer number (17466624000).

Almost surely, 21122112202211 is an apocalyptic number.

1122112202211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1122112202211 is a deficient number, since it is larger than the sum of its proper divisors (1113615669789).

1122112202211 is a wasteful number, since it uses less digits than its factorization.

1122112202211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69046 (or 69040 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1122112202211 its reverse (1122022112211), we get a palindrome (2244134314422).

The spelling of 1122112202211 in words is "one trillion, one hundred twenty-two billion, one hundred twelve million, two hundred two thousand, two hundred eleven".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 189 231 273 297 351 429 607 693 819 1001 1287 1821 2079 2457 3003 3861 4249 5463 6677 7891 9009 12747 16389 20031 23673 27027 38241 46739 55237 60093 68399 71019 86801 114723 140217 165711 180279 205197 213057 260403 420651 478793 497133 607607 615591 752389 781209 889187 1261953 1436379 1491399 1822821 1846773 2257167 2343627 2667561 4309137 5266723 5468463 6224309 6771501 8002683 9781057 12927411 15800169 16405389 18672927 20314503 24008049 29343171 41518193 47400507 56018781 68467399 88029513 124554579 142201521 168056343 205402197 264088539 290627351 373663737 456700123 539736509 616206591 871882053 1120991211 1370100369 1619209527 1848619773 2615646159 3196900861 3778155563 4110301107 4857628581 5937101599 7846938477 9590702583 11334466689 12330903321 14572885743 17811304797 28772107749 34003400067 41559711193 53433914391 86316323247 102010200201 124679133579 160301743173 374037400737 1122112202211