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102012021111 = 3711131013171061
BaseRepresentation
bin101111100000001100…
…0111110100101110111
3100202022101121121100010
41133000120332211313
53132410034133421
6114510315351303
710240644605160
oct1370030764567
9322271547303
10102012021111
113a299143370
121792b752533
139809605590
144d1a368767
1529c0bc4076
hex17c063e977

102012021111 has 128 divisors (see below), whose sum is σ = 185187244032. Its totient is φ = 48234240000.

The previous prime is 102012021103. The next prime is 102012021121. The reversal of 102012021111 is 111120210201.

It is not a de Polignac number, because 102012021111 - 23 = 102012021103 is a prime.

It is a super-2 number, since 2×1020120211112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012021121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96146521 + ... + 96147581.

It is an arithmetic number, because the mean of its divisors is an integer number (1446775344).

Almost surely, 2102012021111 is an apocalyptic number.

102012021111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102012021111 is a deficient number, since it is larger than the sum of its proper divisors (83175222921).

102012021111 is a wasteful number, since it uses less digits than its factorization.

102012021111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102012021111 its reverse (111120210201), we get a palindrome (213132231312).

The spelling of 102012021111 in words is "one hundred two billion, twelve million, twenty-one thousand, one hundred eleven".

Divisors: 1 3 7 11 13 21 33 39 77 91 101 143 231 273 303 317 429 707 951 1001 1061 1111 1313 2121 2219 3003 3183 3333 3487 3939 4121 6657 7427 7777 9191 10461 11671 12363 13793 14443 22281 23331 24409 27573 28847 32017 35013 41379 43329 45331 73227 81697 86541 96051 96551 101101 107161 135993 151723 224119 245091 289653 303303 317317 321483 336337 352187 416221 455169 672357 750127 951951 1009011 1056561 1062061 1178771 1248663 1393093 2250381 2354359 2465309 2913547 3186183 3536313 3699707 4179279 4372381 4578431 7063077 7395927 8251397 8740641 9751651 11099121 13117143 13735293 15324023 24754191 25897949 29254953 30606667 32049017 33970037 45972069 48096191 77693847 91820001 96147051 101910111 107268161 144288573 237790259 321804483 336673337 373670407 441610481 713370777 1010020011 1121011221 1324831443 2615692849 3091273367 4857715291 7847078547 9273820101 14573145873 34004007037 102012021111