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10120211222211 = 321710111320872777
BaseRepresentation
bin1001001101000100101110…
…0110000100111011000011
31022211111000220212001201200
42103101023212010323003
52311302143033102321
633305054424432243
72063106161024016
oct223211346047303
938744026761650
1010120211222211
113251a59446552
121175446318683
13585441028b3c
1426db6c53937d
151283b371cd26
hex9344b984ec3

10120211222211 has 96 divisors (see below), whose sum is σ = 15782784121728. Its totient is φ = 6226199347200.

The previous prime is 10120211222197. The next prime is 10120211222263. The reversal of 10120211222211 is 11222211202101.

10120211222211 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 211 + 222 + 211 = 666.

It is not a de Polignac number, because 10120211222211 - 210 = 10120211221187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10120211222291) 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, 3644295055 + ... + 3644297831.

It is an arithmetic number, because the mean of its divisors is an integer number (164404001268).

Almost surely, 210120211222211 is an apocalyptic number.

10120211222211 is a deficient number, since it is larger than the sum of its proper divisors (5662572899517).

10120211222211 is a wasteful number, since it uses less digits than its factorization.

10120211222211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101 (or 5098 counting only the distinct ones).

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

Adding to 10120211222211 its reverse (11222211202101), we get a palindrome (21342422424312).

The spelling of 10120211222211 in words is "ten trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-two thousand, two hundred eleven".

Divisors: 1 3 9 17 51 101 113 153 303 339 909 1017 1717 1921 2087 2777 5151 5763 6261 8331 11413 15453 17289 18783 24993 34239 35479 47209 102717 106437 141627 194021 210787 235831 280477 313801 319311 424881 582063 632361 707493 841431 941403 1746189 1897083 2122479 2524293 2824209 3583379 4009127 4768109 5334617 5795599 10750137 12027381 14304327 16003851 17386797 23818931 31693901 32250411 36082143 42912981 48011553 52160391 71456793 95081703 98525183 214370379 285245109 295575549 404921827 538796317 585355499 654902687 886726647 1214765481 1616388951 1756066497 1964708061 3644296443 4849166853 5268199491 5894124183 9951043483 11133345679 29853130449 33400037037 66145171387 89559391347 100200111111 198435514161 595306542483 1124467913579 3373403740737 10120211222211