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211001202122112 = 2733233262032569
BaseRepresentation
bin101111111110011110001011…
…101100110001110110000000
31000200002111222120021212102000
4233332132023230301312000
5210124020430220401422
62024432340350424000
762305222326415263
oct5776361354616600
91020074876255360
10211001202122112
116126011a898406
121b7b9543802000
13909743576b29c
143a16726abccda
15195d95b052cac
hexbfe78bb31d80

211001202122112 has 128 divisors (see below), whose sum is σ = 625419338076000. Its totient is φ = 70031872253952.

The previous prime is 211001202122107. The next prime is 211001202122141. The reversal of 211001202122112 is 211221202100112.

211001202122112 is a `hidden beast` number, since 21 + 100 + 120 + 212 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 130211037 + ... + 131821532.

Almost surely, 2211001202122112 is an apocalyptic number.

It is an amenable number.

211001202122112 is an abundant number, since it is smaller than the sum of its proper divisors (414418135953888).

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

211001202122112 is a wasteful number, since it uses less digits than its factorization.

211001202122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262032825 (or 262032807 counting only the distinct ones).

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

Adding to 211001202122112 its reverse (211221202100112), we get a palindrome (422222404222224).

It can be divided in two parts, 21100120 and 2122112, that added together give a palindrome (23222232).

The spelling of 211001202122112 in words is "two hundred eleven trillion, one billion, two hundred two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 233 288 384 432 466 576 699 864 932 1152 1398 1728 1864 2097 2796 3456 3728 4194 5592 6291 7456 8388 11184 12582 14912 16776 22368 25164 29824 33552 44736 50328 67104 89472 100656 134208 201312 268416 402624 805248 262032569 524065138 786097707 1048130276 1572195414 2096260552 2358293121 3144390828 4192521104 4716586242 6288781656 7074879363 8385042208 9433172484 12577563312 14149758726 16770084416 18866344968 25155126624 28299517452 33540168832 37732689936 50310253248 56599034904 61053588577 75465379872 100620506496 113198069808 122107177154 150930759744 183160765731 226396139616 244214354308 301861519488 366321531462 452792279232 488428708616 549482297193 732643062924 905584558464 976857417232 1098964594386 1465286125848 1648446891579 1953714834464 2197929188772 2930572251696 3296893783158 3907429668928 4395858377544 5861144503392 6593787566316 7814859337856 8791716755088 11722289006784 13187575132632 17583433510176 23444578013568 26375150265264 35166867020352 52750300530528 70333734040704 105500601061056 211001202122112