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10023013100001 = 3114353133272343
BaseRepresentation
bin1001000111011010101000…
…1000101010100111100001
31022111012011000102212020110
42101312222020222213201
52303204112323200001
633152301511401533
72053065415434306
oct221665210524741
938435130385213
1010023013100001
113214810660730
12115a63a9832a9
13579220b53265
1426918b66b0ad
15125ac548e3d6
hex91daa22a9e1

10023013100001 has 32 divisors (see below), whose sum is σ = 15199444288512. Its totient is φ = 5821335898560.

The previous prime is 10023013099993. The next prime is 10023013100021. The reversal of 10023013100001 is 10000131032001.

It is not a de Polignac number, because 10023013100001 - 23 = 10023013099993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10023013100001.

It is not an unprimeable number, because it can be changed into a prime (10023013100021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66560965 + ... + 66711378.

It is an arithmetic number, because the mean of its divisors is an integer number (474982634016).

Almost surely, 210023013100001 is an apocalyptic number.

10023013100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10023013100001 is a deficient number, since it is larger than the sum of its proper divisors (5176431188511).

10023013100001 is a wasteful number, since it uses less digits than its factorization.

10023013100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133272453.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10023013100001 its reverse (10000131032001), we get a palindrome (20023144132002).

It can be divided in two parts, 100230 and 13100001, that added together give a palindrome (13200231).

The spelling of 10023013100001 in words is "ten trillion, twenty-three billion, thirteen million, one hundred thousand, one".

Divisors: 1 3 11 33 43 53 129 159 473 583 1419 1749 2279 6837 25069 75207 133272343 399817029 1465995773 4397987319 5730710749 7063434179 17192132247 21190302537 63037818239 77697775969 189113454717 233093327907 303727669697 911183009091 3341004366667 10023013100001