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101200222012 = 221729227331683
BaseRepresentation
bin101111001000000000…
…0001101011100111100
3100200012211001221022211
41132100000031130330
53124224224101022
6114253555550204
710211556460021
oct1362000153474
9320184057284
10101200222012
1139a1198371a
12177438bb364
13970a380c96
144c8060b548
1529747bae77
hex179000d73c

101200222012 has 96 divisors (see below), whose sum is σ = 195713521920. Its totient is φ = 45573749760.

The previous prime is 101200221943. The next prime is 101200222027. The reversal of 101200222012 is 210222002101.

It is a happy number.

101200222012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101200221983 and 101200222001.

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, 148169823 + ... + 148170505.

It is an arithmetic number, because the mean of its divisors is an integer number (2038682520).

Almost surely, 2101200222012 is an apocalyptic number.

It is an amenable number.

101200222012 is a deficient number, since it is larger than the sum of its proper divisors (94513299908).

101200222012 is a wasteful number, since it uses less digits than its factorization.

101200222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101200222012 its reverse (210222002101), we get a palindrome (311422224113).

The spelling of 101200222012 in words is "one hundred one billion, two hundred million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 4 17 29 34 58 68 116 227 331 454 493 662 683 908 986 1324 1366 1972 2732 3859 5627 6583 7718 9599 11254 11611 13166 15436 19198 19807 22508 23222 26332 38396 39614 46444 75137 79228 111911 150274 155041 163183 223822 226073 300548 310082 326366 336719 447644 452146 620164 652732 673438 904292 1277329 1346876 2178973 2554658 2635697 3843241 4357946 4496189 5109316 5271394 6556117 7686482 8715892 8992378 10542788 13112234 15372964 17984756 26224468 37042541 51318571 74085082 76435213 102637142 111453989 148170164 152870426 205274284 222907978 305740852 445815956 872415707 1488238559 1744831414 2976477118 3489662828 5952954236 25300055503 50600111006 101200222012