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100222012132 = 221121032298779
BaseRepresentation
bin101110101010110110…
…0101000101011100100
3100120200122101201122021
41131111230220223210
53120223313342012
6114012533312524
710145411022124
oct1352554505344
9316618351567
10100222012132
113955a793100
1217510195744
1395b2802c78
144bca732c84
152918991007
hex1755b28ae4

100222012132 has 72 divisors (see below), whose sum is σ = 195526385600. Its totient is φ = 44911056960.

The previous prime is 100222012129. The next prime is 100222012169. The reversal of 100222012132 is 231210222001.

It is a happy number.

100222012132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11411719 + ... + 11420497.

Almost surely, 2100222012132 is an apocalyptic number.

It is an amenable number.

100222012132 is a deficient number, since it is larger than the sum of its proper divisors (95304373468).

100222012132 is a wasteful number, since it uses less digits than its factorization.

100222012132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9137 (or 9124 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100222012132 its reverse (231210222001), we get a palindrome (331432234133).

The spelling of 100222012132 in words is "one hundred billion, two hundred twenty-two million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 44 103 121 206 229 242 412 458 484 916 1133 2266 2519 4532 5038 8779 10076 12463 17558 23587 24926 27709 35116 47174 49852 55418 94348 96569 110836 193138 259457 386276 518914 904237 1037828 1062259 1808474 2010391 2124518 2854027 3616948 4020782 4249036 5708054 8041564 9946607 11416108 19893214 22114301 39786428 44228602 88457204 109412677 207070273 218825354 243257311 414140546 437650708 486514622 828281092 973029244 2277773003 4555546006 9111092012 25055503033 50111006066 100222012132