Search a number
-
+
22210010120112 = 2431797465160331
BaseRepresentation
bin1010000110011001010111…
…10000110111111110110000
32220122020220210101211102120
411003030223300313332300
510402342100042320422
6115123045432514240
74451422520055423
oct503145360677660
986566823354376
1022210010120112
117093237776461
1225a854754b980
13c51519988b69
1456ad824279ba
15287aeeee445c
hex14332bc37fb0

22210010120112 has 160 divisors (see below), whose sum is σ = 61391422197504. Its totient is φ = 6894415872000.

The previous prime is 22210010120101. The next prime is 22210010120203. The reversal of 22210010120112 is 21102101001222.

It is a junction number, because it is equal to n+sod(n) for n = 22210010120091 and 22210010120100.

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, 368105787 + ... + 368166117.

Almost surely, 222210010120112 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 22210010120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30695711098752).

22210010120112 is an abundant number, since it is smaller than the sum of its proper divisors (39181412077392).

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

22210010120112 is a wasteful number, since it uses less digits than its factorization.

22210010120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65107 (or 65101 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22210010120112 its reverse (21102101001222), we get a palindrome (43312111121334).

The spelling of 22210010120112 in words is "twenty-two trillion, two hundred ten billion, ten million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 97 102 136 194 204 272 291 388 408 582 776 816 1164 1552 1649 2328 3298 4651 4656 4947 6596 9302 9894 13192 13953 18604 19788 26384 27906 37208 39576 55812 60331 74416 79067 79152 111624 120662 158134 180993 223248 237201 241324 316268 361986 451147 474402 482648 632536 723972 902294 948804 965296 1025627 1265072 1353441 1447944 1804588 1897608 2051254 2706882 2895888 3076881 3609176 3795216 4102508 5413764 5852107 6153762 7218352 7669499 8205016 10827528 11704214 12307524 15338998 16410032 17556321 21655056 23008497 23408428 24615048 30677996 35112642 46016994 46816856 49230096 61355992 70225284 92033988 93633712 99485819 122711984 140450568 184067976 198971638 280599481 280901136 298457457 368135952 397943276 561198962 596914914 795886552 841798443 1122397924 1193829828 1591773104 1683596886 2244795848 2387659656 3367193772 4489591696 4770191177 4775319312 6734387544 9540382354 13468775088 14310573531 19080764708 27218149657 28621147062 38161529416 54436299314 57242294124 76323058832 81654448971 108872598628 114484588248 163308897942 217745197256 228969176496 326617795884 435490394512 462708544169 653235591768 925417088338 1306471183536 1388125632507 1850834176676 2776251265014 3701668353352 5552502530028 7403336706704 11105005060056 22210010120112