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22112101212102 = 232111723285619639
BaseRepresentation
bin1010000011100010111111…
…11100000001111111000110
32220021220012100111222010100
411001301133330001333012
510344241040402241402
6115010054205104530
74441355324063136
oct501613774017706
986256170458110
1022112101212102
117055764744760
122591581b58146
13c45215468775
14566334db4ac6
152852be66271c
hex141c5ff01fc6

22112101212102 has 96 divisors (see below), whose sum is σ = 57745436336640. Its totient is φ = 6032286754560.

The previous prime is 22112101212077. The next prime is 22112101212109. The reversal of 22112101212102 is 20121210121122.

22112101212102 is a `hidden beast` number, since 221 + 1 + 210 + 1 + 21 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112101212109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142732402 + ... + 142887237.

It is an arithmetic number, because the mean of its divisors is an integer number (601514961840).

Almost surely, 222112101212102 is an apocalyptic number.

22112101212102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22112101212102 is an abundant number, since it is smaller than the sum of its proper divisors (35633335124538).

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

22112101212102 is a wasteful number, since it uses less digits than its factorization.

22112101212102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285619698 (or 285619695 counting only the distinct ones).

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

Adding to 22112101212102 its reverse (20121210121122), we get a palindrome (42233311333224).

The spelling of 22112101212102 in words is "twenty-two trillion, one hundred twelve billion, one hundred one million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 23 33 34 46 51 66 69 99 102 138 153 187 198 207 253 306 374 391 414 506 561 759 782 1122 1173 1518 1683 2277 2346 3366 3519 4301 4554 7038 8602 12903 25806 38709 77418 285619639 571239278 856858917 1713717834 2570576751 3141816029 4855533863 5141153502 6283632058 6569251697 9425448087 9711067726 13138503394 14566601589 18850896174 19707755091 28276344261 29133203178 39415510182 43699804767 53410872493 56552688522 59123265273 72261768667 87399609534 106821744986 111677278849 118246530546 144523537334 160232617479 216785306001 223354557698 320465234958 335031836547 433570612002 480697852437 650355918003 670063673094 961395704874 1005095509641 1228450067339 1300711836006 2010191019282 2456900134678 3685350202017 7370700404034 11056050606051 22112101212102