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101212023132 = 223211318244707
BaseRepresentation
bin101111001000010110…
…1001110100101011100
3100200020122021111102100
41132100231032211130
53124240234220012
6114255100525100
710212062000433
oct1362055164534
9320218244370
10101212023132
1139a18604010
1217747850790
13970c9535ac
144c8200011a
15297584c8dc
hex1790b4e95c

101212023132 has 72 divisors (see below), whose sum is σ = 288103076352. Its totient is φ = 29680941600.

The previous prime is 101212023083. The next prime is 101212023161. The reversal of 101212023132 is 231320212101.

It is a super-3 number, since 3×1012120231323 (a number of 34 digits) contains 333 as substring.

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 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, 4110078 + ... + 4134629.

It is an arithmetic number, because the mean of its divisors is an integer number (4001431616).

Almost surely, 2101212023132 is an apocalyptic number.

101212023132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101212023132 is an abundant number, since it is smaller than the sum of its proper divisors (186891053220).

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

101212023132 is a wasteful number, since it uses less digits than its factorization.

101212023132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244759 (or 8244754 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101212023132 its reverse (231320212101), we get a palindrome (332532235233).

The spelling of 101212023132 in words is "one hundred one billion, two hundred twelve million, twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 4092 6138 12276 8244707 16489414 24734121 32978828 49468242 74202363 90691777 98936484 148404726 181383554 255585917 272075331 296809452 362767108 511171834 544150662 766757751 816225993 1022343668 1088301324 1533515502 1632451986 2300273253 2811445087 3067031004 3264903972 4600546506 5622890174 8434335261 9201093012 11245780348 16868670522 25303005783 33737341044 50606011566 101212023132