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101220000132 = 22319297240883
BaseRepresentation
bin101111001000100101…
…1101010000110000100
3100200021012021202210210
41132101023222012010
53124244310001012
6114255543515420
710212216543126
oct1362113520604
9320235252723
10101220000132
1139a22062279
121774a458b70
1397114b7404
144c830b9216
1529763c623c
hex17912ea184

101220000132 has 72 divisors (see below), whose sum is σ = 251835550176. Its totient is φ = 31634551296.

The previous prime is 101220000127. The next prime is 101220000139. The reversal of 101220000132 is 231000022101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101220000139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299763 + ... + 540645.

Almost surely, 2101220000132 is an apocalyptic number.

101220000132 is a gapful number since it is divisible by the number (12) 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 101220000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125917775088).

101220000132 is an abundant number, since it is smaller than the sum of its proper divisors (150615550044).

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

101220000132 is a wasteful number, since it uses less digits than its factorization.

101220000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241025 (or 241004 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101220000132 its reverse (231000022101), we get a palindrome (332220022233).

The spelling of 101220000132 in words is "one hundred one billion, two hundred twenty million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 19 38 57 76 97 114 194 228 291 361 388 582 722 1083 1164 1444 1843 2166 3686 4332 5529 7372 11058 22116 35017 70034 105051 140068 210102 240883 420204 481766 722649 963532 1445298 2890596 4576777 9153554 13730331 18307108 23365651 27460662 46731302 54921324 70096953 86958763 93462604 140193906 173917526 260876289 280387812 347835052 443947369 521752578 887894738 1043505156 1331842107 1775789476 2663684214 5327368428 8435000011 16870000022 25305000033 33740000044 50610000066 101220000132