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101011010110983 = 357410391446997
BaseRepresentation
bin10110111101111001110101…
…011000000100011000000111
3111020122120001222012112200000
4112331321311120010120013
5101214431022042022413
6554455452322052343
730163542665245230
oct2675716530043007
9436576058175600
10101011010110983
112a20458a946445
12b3b473aaaa0b3
1344493b346934b
141ad2d5d5dc087
15ba27dc921073
hex5bde75604607

101011010110983 has 48 divisors (see below), whose sum is σ = 172928531543040. Its totient is φ = 57719130836256.

The previous prime is 101011010110973. The next prime is 101011010111017. The reversal of 101011010110983 is 389011010110101.

It is not a de Polignac number, because 101011010110983 - 210 = 101011010109959 is a prime.

It is a super-2 number, since 2×1010110101109832 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011010110973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69083841 + ... + 70530837.

It is an arithmetic number, because the mean of its divisors is an integer number (3602677740480).

Almost surely, 2101011010110983 is an apocalyptic number.

101011010110983 is a deficient number, since it is larger than the sum of its proper divisors (71917521432057).

101011010110983 is an equidigital number, since it uses as much as digits as its factorization.

101011010110983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488058 (or 1488046 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 27.

The spelling of 101011010110983 in words is "one hundred one trillion, eleven billion, ten million, one hundred ten thousand, nine hundred eighty-three".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 41039 123117 287273 369351 861819 1108053 1446997 2585457 3324159 4340991 7756371 9972477 10128979 13022973 23269113 30386937 39068919 69807339 91160811 117206757 273482433 351620271 820447299 2461341897 59383309883 178149929649 415683169181 534449788947 1247049507543 1603349366841 3741148522629 4810048100523 11223445567887 14430144301569 33670336703661 101011010110983