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11001222221112 = 2333194757034249
BaseRepresentation
bin1010000000010110101111…
…1100010100110100111000
31102221201002002110221111000
42200011223330110310320
52420221000342033422
635221520340005000
72213545353661224
oct240055374246470
942851062427430
1011001222221112
113561657162802
12129813b090760
1361a5456c8906
142a0667a0b784
15141278b33cac
hexa016bf14d38

11001222221112 has 128 divisors (see below), whose sum is σ = 32851728000000. Its totient is φ = 3400153728768.

The previous prime is 11001222221057. The next prime is 11001222221117. The reversal of 11001222221112 is 21112222210011.

11001222221112 is a `hidden beast` number, since 110 + 0 + 1 + 222 + 221 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001222221117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28324237 + ... + 28710012.

It is an arithmetic number, because the mean of its divisors is an integer number (256654125000).

Almost surely, 211001222221112 is an apocalyptic number.

11001222221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11001222221112 is an abundant number, since it is smaller than the sum of its proper divisors (21850505778888).

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

11001222221112 is a wasteful number, since it uses less digits than its factorization.

11001222221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57034330 (or 57034320 counting only the distinct ones).

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

Adding to 11001222221112 its reverse (21112222210011), we get a palindrome (32113444431123).

The spelling of 11001222221112 in words is "eleven trillion, one billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 47 54 57 72 76 94 108 114 141 152 171 188 216 228 282 342 376 423 456 513 564 684 846 893 1026 1128 1269 1368 1692 1786 2052 2538 2679 3384 3572 4104 5076 5358 7144 8037 10152 10716 16074 21432 24111 32148 48222 64296 96444 192888 57034249 114068498 171102747 228136996 342205494 456273992 513308241 684410988 1026616482 1083650731 1368821976 1539924723 2053232964 2167301462 2680609703 3079849446 3250952193 4106465928 4334602924 5361219406 6159698892 6501904386 8041829109 8669205848 9752856579 10722438812 12319397784 13003808772 16083658218 19505713158 21444877624 24125487327 26007617544 29258569737 32167316436 39011426316 48250974654 50931584357 58517139474 64334632872 72376461981 78022852632 96501949308 101863168714 117034278948 144752923962 152794753071 193003898616 203726337428 234068557896 289505847924 305589506142 407452674856 458384259213 579011695848 611179012284 916768518426 1222358024568 1375152777639 1833537036852 2750305555278 3667074073704 5500611110556 11001222221112