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101113043052 = 223719215432161
BaseRepresentation
bin101111000101011001…
…1101001100001101100
3100122222202000210021110
41132022303221201230
53124034414334202
6114241203232020
710206450453660
oct1361263514154
9318882023243
10101113043052
113997774989a
121771a678610
1396c52a90b8
144c72bd68a0
15296bcea26c
hex178ace986c

101113043052 has 144 divisors (see below), whose sum is σ = 284889196032. Its totient is φ = 27338549760.

The previous prime is 101113043041. The next prime is 101113043081. The reversal of 101113043052 is 250340311101.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 46788852 + ... + 46791012.

Almost surely, 2101113043052 is an apocalyptic number.

101113043052 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 101113043052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142444598016).

101113043052 is an abundant number, since it is smaller than the sum of its proper divisors (183776152980).

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

101113043052 is a wasteful number, since it uses less digits than its factorization.

101113043052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 101113043052 its reverse (250340311101), we get a palindrome (351453354153).

The spelling of 101113043052 in words is "one hundred one billion, one hundred thirteen million, forty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 361 399 532 722 798 1083 1444 1543 1596 2161 2166 2527 3086 4322 4332 4629 5054 6172 6483 7581 8644 9258 10108 10801 12966 15127 15162 18516 21602 25932 29317 30254 30324 32403 41059 43204 45381 58634 60508 64806 82118 87951 90762 117268 123177 129612 164236 175902 181524 205219 246354 287413 351804 410438 492708 557023 574826 615657 780121 820876 862239 1114046 1149652 1231314 1560242 1671069 1724478 2228092 2340363 2462628 3120484 3334423 3342138 3448956 3899161 4680726 5460847 6668846 6684276 7798322 9361452 10003269 10921694 11697483 13337692 15596644 16382541 20006538 21843388 23340961 23394966 32765082 40013076 46681922 46789932 63354037 65530164 70022883 93363844 126708074 140045766 190062111 253416148 280091532 380124222 443478259 760248444 886956518 1203726703 1330434777 1773913036 2407453406 2660869554 3611180109 4814906812 5321739108 7222360218 8426086921 14444720436 16852173842 25278260763 33704347684 50556521526 101113043052