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101100001023 = 32721311750013
BaseRepresentation
bin101111000101000000…
…1111001011011111111
3100122221211111011222100
41132022001321123333
53124023100013043
6114240015520143
710206231554400
oct1361201713377
9318854434870
10101100001023
113997035115a
1217716229053
1396c2690a18
144c7119d9a7
15296aac0cd3
hex178a0796ff

101100001023 has 36 divisors (see below), whose sum is σ = 171172369368. Its totient is φ = 57330393120.

The previous prime is 101100000961. The next prime is 101100001027. The reversal of 101100001023 is 320100001101.

It is not a de Polignac number, because 101100001023 - 212 = 101099996927 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101100000996 and 101100001014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100001027) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 817236 + ... + 932777.

It is an arithmetic number, because the mean of its divisors is an integer number (4754788038).

Almost surely, 2101100001023 is an apocalyptic number.

101100001023 is a deficient number, since it is larger than the sum of its proper divisors (70072368345).

101100001023 is a wasteful number, since it uses less digits than its factorization.

101100001023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750164 (or 1750154 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101100001023 its reverse (320100001101), we get a palindrome (421200002124).

The spelling of 101100001023 in words is "one hundred one billion, one hundred million, one thousand, twenty-three".

Divisors: 1 3 7 9 21 49 63 131 147 393 441 917 1179 2751 6419 8253 19257 57771 1750013 5250039 12250091 15750117 36750273 85750637 110250819 229251703 257251911 687755109 771755733 1604761921 2063265327 4814285763 11233333447 14442857289 33700000341 101100001023