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2202201212112 = 243311767360397
BaseRepresentation
bin100000000010111101011…
…010111100010011010000
321210112021012002200211000
4200002331122330103100
5242040102002241422
64403402142422000
7315050412310056
oct40027532742320
97715235080730
102202201212112
11779a4819a250
122b6974891900
1312c88891a805
14788310461d6
153c43e80ccac
hex200bd6bc4d0

2202201212112 has 160 divisors (see below), whose sum is σ = 6896794469760. Its totient is φ = 667235681280.

The previous prime is 2202201212053. The next prime is 2202201212129. The reversal of 2202201212112 is 2112121022022.

It is a happy number.

2202201212112 is a `hidden beast` number, since 220 + 220 + 1 + 212 + 1 + 12 = 666.

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

It is a congruent number.

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, 36431898 + ... + 36492294.

It is an arithmetic number, because the mean of its divisors is an integer number (43104965436).

Almost surely, 22202201212112 is an apocalyptic number.

2202201212112 is a gapful number since it is divisible by the number (22) 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 2202201212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448397234880).

2202201212112 is an abundant number, since it is smaller than the sum of its proper divisors (4694593257648).

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

2202201212112 is a wasteful number, since it uses less digits than its factorization.

2202201212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68098 (or 68086 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2202201212112 its reverse (2112121022022), we get a palindrome (4314322234134).

The spelling of 2202201212112 in words is "two trillion, two hundred two billion, two hundred one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 7673 15346 23019 30692 46038 60397 61384 69057 84403 92076 120794 122768 138114 168806 181191 184152 207171 241588 253209 276228 337612 362382 368304 414342 483176 506418 543573 552456 664367 675224 724764 759627 828684 966352 1012836 1087146 1104912 1328734 1350448 1449528 1519254 1630719 1657368 1993101 2025672 2174292 2278881 2657468 2899056 3038508 3261438 3314736 3986202 4051344 4348584 4557762 5314936 5979303 6077016 6522876 7972404 8697168 9115524 10629872 11958606 12154032 13045752 15944808 17937909 18231048 23917212 26091504 31889616 35875818 36462096 47834424 71751636 95668848 143503272 287006544 463426181 926852362 1390278543 1853704724 2780557086 3707409448 4170835629 5097687991 5561114172 7414818896 8341671258 10195375982 11122228344 12512506887 15293063973 16683342516 20390751964 22244456688 25025013774 30586127946 33366685032 40781503928 45879191919 50050027548 61172255892 66733370064 81563007856 91758383838 100100055096 122344511784 137637575757 183516767676 200200110192 244689023568 275275151514 367033535352 550550303028 734067070704 1101100606056 2202201212112