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211222000202112 = 2732434264010017
BaseRepresentation
bin110000000001101011110100…
…010010100111000110000000
31000200212121220100211111002200
4300001223310102213012000
5210141130124022431422
62025122014115513200
762330200033215114
oct6001536422470600
91020777810744080
10211222000202112
1161335824627979
121b8342a45b8800
1390b21c28c5073
143a232b1071744
15196458033b2ac
hexc01af44a7180

211222000202112 has 96 divisors (see below), whose sum is σ = 621948501225480. Its totient is φ = 68769953538048.

The previous prime is 211222000202093. The next prime is 211222000202137. The reversal of 211222000202112 is 211202000222112.

It is a happy number.

211222000202112 is a `hidden beast` number, since 211 + 2 + 220 + 0 + 0 + 20 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2112220002021122 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2131955473 + ... + 2132054544.

Almost surely, 2211222000202112 is an apocalyptic number.

It is an amenable number.

211222000202112 is an abundant number, since it is smaller than the sum of its proper divisors (410726501023368).

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

211222000202112 is a wasteful number, since it uses less digits than its factorization.

211222000202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264010080 (or 4264010065 counting only the distinct ones).

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

Adding to 211222000202112 its reverse (211202000222112), we get a palindrome (422424000424224).

It can be divided in two parts, 211222000 and 202112, that added together give a palindrome (211424112).

The spelling of 211222000202112 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 2064 2752 3096 4128 5504 6192 8256 12384 16512 24768 49536 4264010017 8528020034 12792030051 17056040068 25584060102 34112080136 38376090153 51168120204 68224160272 76752180306 102336240408 136448320544 153504360612 183352430731 204672480816 272896641088 307008721224 366704861462 409344961632 545793282176 550057292193 614017442448 733409722924 818689923264 1100114584386 1228034884896 1466819445848 1637379846528 1650171876579 2200229168772 2456069769792 2933638891696 3300343753158 4400458337544 4912139539584 5867277783392 6600687506316 8800916675088 11734555566784 13201375012632 17601833350176 23469111133568 26402750025264 35203666700352 52805500050528 70407333400704 105611000101056 211222000202112