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101332023144 = 2331119197102547
BaseRepresentation
bin101111001011111011…
…0111111011101101000
3100200120000002010111020
41132113312333131220
53130011444220034
6114315024532440
710215046661622
oct1362766773550
9320500063436
10101332023144
1139a7a315880
121777ba81120
13972b77a511
144c93d19c12
152981153249
hex1797dbf768

101332023144 has 128 divisors (see below), whose sum is σ = 292384857600. Its totient is φ = 28942583040.

The previous prime is 101332023139. The next prime is 101332023181. The reversal of 101332023144 is 441320233101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 936879 + ... + 1039425.

It is an arithmetic number, because the mean of its divisors is an integer number (2284256700).

Almost surely, 2101332023144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101332023144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146192428800).

101332023144 is an abundant number, since it is smaller than the sum of its proper divisors (191052834456).

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

101332023144 is a wasteful number, since it uses less digits than its factorization.

101332023144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102783 (or 102779 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101332023144 its reverse (441320233101), we get a palindrome (542652256245).

The spelling of 101332023144 in words is "one hundred one billion, three hundred thirty-two million, twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 197 209 228 264 394 418 456 591 627 788 836 1182 1254 1576 1672 2167 2364 2508 3743 4334 4728 5016 6501 7486 8668 11229 13002 14972 17336 22458 26004 29944 41173 44916 52008 82346 89832 102547 123519 164692 205094 247038 307641 329384 410188 494076 615282 820376 988152 1128017 1230564 1948393 2256034 2461128 3384051 3896786 4512068 5845179 6768102 7793572 9024136 11690358 13536204 15587144 20201759 21432323 23380716 27072408 40403518 42864646 46761432 60605277 64296969 80807036 85729292 121210554 128593938 161614072 171458584 222219349 242421108 257187876 383833421 444438698 484842216 514375752 666658047 767666842 888877396 1151500263 1333316094 1535333684 1777754792 2303000526 2666632188 3070667368 4222167631 4606001052 5333264376 8444335262 9212002104 12666502893 16888670524 25333005786 33777341048 50666011572 101332023144