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110222011120 = 24513195994543
BaseRepresentation
bin110011010100110111…
…1100110101011110000
3101112111120011022101011
41212221233212223300
53301213313323440
6122345120120304
710651255431124
oct1465157465360
9345446138334
10110222011120
11428214a7381
1219441166094
13a5174bcb30
145498895584
152d0184d9ea
hex19a9be6af0

110222011120 has 160 divisors (see below), whose sum is σ = 295431091200. Its totient is φ = 37901509632.

The previous prime is 110222011117. The next prime is 110222011127. The reversal of 110222011120 is 21110222011.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 110222011120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110222011127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118569 + ... + 1213111.

It is an arithmetic number, because the mean of its divisors is an integer number (1846444320).

Almost surely, 2110222011120 is an apocalyptic number.

110222011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110222011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147715545600).

110222011120 is an abundant number, since it is smaller than the sum of its proper divisors (185209080080).

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

110222011120 is a wasteful number, since it uses less digits than its factorization.

110222011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94647 (or 94641 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110222011120 its reverse (21110222011), we get a palindrome (131332233131).

The spelling of 110222011120 in words is "one hundred ten billion, two hundred twenty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 59 65 76 80 95 104 118 130 152 190 208 236 247 260 295 304 380 472 494 520 590 760 767 944 988 1040 1121 1180 1235 1520 1534 1976 2242 2360 2470 3068 3835 3952 4484 4720 4940 5605 6136 7670 8968 9880 11210 12272 14573 15340 17936 19760 22420 29146 30680 44840 58292 61360 72865 89680 94543 116584 145730 189086 233168 291460 378172 472715 582920 756344 945430 1165840 1229059 1512688 1796317 1890860 2458118 3592634 3781720 4916236 5578037 6145295 7185268 7563440 8981585 9832472 11156074 12290590 14370536 17963170 19664944 22312148 23352121 24581180 27890185 28741072 35926340 44624296 46704242 49162360 55780370 71852680 72514481 89248592 93408484 98324720 105982703 111560740 116760605 143705360 145028962 186816968 211965406 223121480 233521210 290057924 362572405 373633936 423930812 446242960 467042420 529913515 580115848 725144810 847861624 934084840 1059827030 1160231696 1377775139 1450289620 1695723248 1868169680 2119654060 2755550278 2900579240 4239308120 5511100556 5801158480 6888875695 8478616240 11022201112 13777751390 22044402224 27555502780 55111005560 110222011120