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112211210112001 = 711131710761626779
BaseRepresentation
bin11001100000111000110101…
…010100011000110000000001
3112201022021202011111000021221
4121200320311110120300001
5104201432024242041001
61034353041314315041
732430664251406120
oct3140706524306001
9481267664430257
10112211210112001
113283256384a250
121070334b288a81
134a7c619467160
141d9d0a1637ab7
15ce8d0eda91a1
hex660e35518c01

112211210112001 has 64 divisors (see below), whose sum is σ = 161014506670080. Its totient is φ = 75253691151360.

The previous prime is 112211210111981. The next prime is 112211210112007. The reversal of 112211210112001 is 100211012112211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112211210112001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112211210112007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28992571 + ... + 32634208.

It is an arithmetic number, because the mean of its divisors is an integer number (2515851666720).

Almost surely, 2112211210112001 is an apocalyptic number.

112211210112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112211210112001 is a deficient number, since it is larger than the sum of its proper divisors (48803296558079).

112211210112001 is a wasteful number, since it uses less digits than its factorization.

112211210112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61626934.

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

Adding to 112211210112001 its reverse (100211012112211), we get a palindrome (212422222224212).

It can be divided in two parts, 112211210 and 112001, that added together give a palindrome (112323211).

The spelling of 112211210112001 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred ten million, one hundred twelve thousand, one".

Divisors: 1 7 11 13 17 77 91 107 119 143 187 221 749 1001 1177 1309 1391 1547 1819 2431 8239 9737 12733 15301 17017 20009 23647 107107 140063 165529 260117 1820819 61626779 431387453 677894569 801148127 1047655243 4745261983 5608036889 6594065353 7333586701 8812629397 11524207673 13619518159 46158457471 61688405779 72534718883 80669453711 85722849589 95336627113 112099111001 149814699749 507743032181 600059947123 784693777007 942951345479 1048702898243 1233090221011 1457288443013 6600659418353 8631631547077 10201019101091 16030172873143 112211210112001