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1122012222201 = 32131741115311933
BaseRepresentation
bin10000010100111101001…
…000111101001011111001
310222021002221221111220200
4100110331020331023321
5121340340112102301
62215240103512413
7144030336346323
oct20247510751371
93867087844820
101122012222201
113a292a715372
12161553758709
1381a61319420
143c43cb0a613
151e2bd1e5c86
hex1053d23d2f9

1122012222201 has 96 divisors (see below), whose sum is σ = 1894894458912. Its totient is φ = 633400197120.

The previous prime is 1122012222197. The next prime is 1122012222209. The reversal of 1122012222201 is 1022222102211.

It is a happy number.

1122012222201 is a `hidden beast` number, since 1 + 1 + 220 + 1 + 222 + 220 + 1 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 152474630400 + 969537591801 = 390480^2 + 984651^2 .

It is not a de Polignac number, because 1122012222201 - 22 = 1122012222197 is a prime.

It is a super-2 number, since 2×11220122222012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122012222209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94020031 + ... + 94031963.

It is an arithmetic number, because the mean of its divisors is an integer number (19738483947).

Almost surely, 21122012222201 is an apocalyptic number.

It is an amenable number.

1122012222201 is a deficient number, since it is larger than the sum of its proper divisors (772882236711).

1122012222201 is a wasteful number, since it uses less digits than its factorization.

1122012222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13163 (or 13160 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1122012222201 its reverse (1022222102211), we get a palindrome (2144234324412).

The spelling of 1122012222201 in words is "one trillion, one hundred twenty-two billion, twelve million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 13 17 39 41 51 117 123 153 221 369 533 663 697 1153 1599 1989 2091 3459 4797 6273 9061 10377 11933 14989 19601 27183 35799 44967 47273 58803 81549 107397 134901 141819 155129 176409 202861 254813 425457 465387 489253 608583 614549 764439 803641 1396161 1467759 1825749 1843647 2293317 2410923 2637193 4403277 5530941 6360289 7232769 7911579 8317301 10447333 13758749 19080867 23734737 24951903 31341999 41276247 57242601 74855709 94025997 108124913 123828741 178863737 233898733 324374739 536591211 564108709 701696199 973124217 1609773633 1692326127 2105088597 3040683529 5076978381 7333413217 9122050587 9589848053 22000239651 27366151761 28769544159 66000718953 86308632477 124668024689 374004074067 1122012222201