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11123215314012 = 2234193804747491
BaseRepresentation
bin1010000111011101001101…
…0011000010110001011100
31110101100222000000011110000
42201313103103002301130
52424220321110022022
635353533511214300
72225424434110134
oct241672323026134
943340860004400
1011123215314012
1135a936907703a
1212b7906377390
13628bb77ac499
142a651b931ac4
15144518a856ac
hexa1dd34c2c5c

11123215314012 has 120 divisors (see below), whose sum is σ = 30610166935040. Its totient is φ = 3512428025760.

The previous prime is 11123215313981. The next prime is 11123215314019. The reversal of 11123215314012 is 21041351232111.

11123215314012 is a `hidden beast` number, since 1 + 1 + 12 + 3 + 215 + 31 + 401 + 2 = 666.

It is a super-2 number, since 2×111232153140122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123215314019) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 234193587 + ... + 234241077.

Almost surely, 211123215314012 is an apocalyptic number.

11123215314012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11123215314012 is an abundant number, since it is smaller than the sum of its proper divisors (19486951621028).

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

11123215314012 is a wasteful number, since it uses less digits than its factorization.

11123215314012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85573 (or 85562 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 11123215314012 its reverse (21041351232111), we get a palindrome (32164566546123).

The spelling of 11123215314012 in words is "eleven trillion, one hundred twenty-three billion, two hundred fifteen million, three hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 38047 47491 76094 94982 114141 142473 152188 189964 228282 284946 342423 427419 456564 569892 684846 722893 854838 902329 1027269 1282257 1369692 1445786 1709676 1804658 2054538 2168679 2564514 2706987 2891572 3081807 3609316 3846771 4109076 4337358 5129028 5413974 6163614 6506037 7693542 8120961 8674716 10827948 12327228 13012074 15387084 16241922 19518111 24362883 26024148 32483844 39036222 48725766 58554333 73088649 78072444 97451532 117108666 146177298 234217332 292354596 1806890077 3613780154 5420670231 7227560308 10841340462 16262010693 21682680924 32524021386 34330911463 48786032079 65048042772 68661822926 97572064158 102992734389 137323645852 146358096237 195144128316 205985468778 292716192474 308978203167 411970937556 585432384948 617956406334 926934609501 1235912812668 1853869219002 2780803828503 3707738438004 5561607657006 11123215314012