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210022100111112 = 2333714811531104309
BaseRepresentation
bin101111110000001110010100…
…101011000000111100001000
31000112121220202021010021111120
4233300032110223000330020
5210012000230112023422
62022402453144355240
762144411266555002
oct5760162453007410
91015556667107446
10210022100111112
1160a1296627aa03
121b67b834475b20
139025ccac1b613
1439c11a3d13372
1519432542d845c
hexbf0394ac0f08

210022100111112 has 128 divisors (see below), whose sum is σ = 539967674563200. Its totient is φ = 68024170137600.

The previous prime is 210022100111101. The next prime is 210022100111179. The reversal of 210022100111112 is 211111001220012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210022100111091 and 210022100111100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2013408814 + ... + 2013513122.

It is an arithmetic number, because the mean of its divisors is an integer number (4218497457525).

Almost surely, 2210022100111112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210022100111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269983837281600).

210022100111112 is an abundant number, since it is smaller than the sum of its proper divisors (329945574452088).

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

210022100111112 is a wasteful number, since it uses less digits than its factorization.

210022100111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107367 (or 107363 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 210022100111112 its reverse (211111001220012), we get a palindrome (421133101331124).

The spelling of 210022100111112 in words is "two hundred ten trillion, twenty-two billion, one hundred million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1481 1531 2962 3062 4443 4593 5924 6124 8886 9186 11848 12248 17772 18372 35544 36744 54797 56647 104309 109594 113294 164391 169941 208618 219188 226588 312927 328782 339882 417236 438376 453176 625854 657564 679764 834472 1251708 1315128 1359528 2267411 2503416 3859433 4534822 6802233 7718866 9069644 11578299 13604466 15437732 18139288 23156598 27208932 30875464 46313196 54417864 83894207 92626392 154481629 159697079 167788414 251682621 308963258 319394158 335576828 463444887 479091237 503365242 617926516 638788316 671153656 926889774 958182474 1006730484 1235853032 1277576632 1853779548 1916364948 2013460968 3707559096 3832729896 5715820273 5908791923 11431640546 11817583846 17147460819 17726375769 22863281092 23635167692 34294921638 35452751538 45726562184 47270335384 68589843276 70905503076 137179686552 141811006152 236511373999 473022747998 709534121997 946045495996 1419068243994 1892090991992 2838136487988 5676272975976 8750920837963 17501841675926 26252762513889 35003683351852 52505525027778 70007366703704 105011050055556 210022100111112