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101001100003320 = 23351176515984851
BaseRepresentation
bin10110111101110000100110…
…101100000000011111111000
3111020121121111022120220122110
4112331300212230000133320
5101214300223100101240
6554451133110052320
730163042261600116
oct2675604654003770
9436547438526573
10101001100003320
112a200364949920
12b3b283404a0a0
134448494293b0a
141ad269d398ab6
15ba240c8bcc80
hex5bdc26b007f8

101001100003320 has 64 divisors (see below), whose sum is σ = 330549054560640. Its totient is φ = 24485115152000.

The previous prime is 101001100003319. The next prime is 101001100003327. The reversal of 101001100003320 is 23300001100101.

It is a super-2 number, since 2×1010011000033202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101001100003296 and 101001100003305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001100003327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38257991106 + ... + 38257993745.

It is an arithmetic number, because the mean of its divisors is an integer number (5164828977510).

Almost surely, 2101001100003320 is an apocalyptic number.

101001100003320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001100003320 is an abundant number, since it is smaller than the sum of its proper divisors (229547954557320).

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

101001100003320 is a wasteful number, since it uses less digits than its factorization.

101001100003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76515984876 (or 76515984872 counting only the distinct ones).

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

Adding to 101001100003320 its reverse (23300001100101), we get a palindrome (124301101103421).

The spelling of 101001100003320 in words is "one hundred one trillion, one billion, one hundred million, three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 76515984851 153031969702 229547954553 306063939404 382579924255 459095909106 612127878808 765159848510 841675833361 918191818212 1147739772765 1530319697020 1683351666722 1836383636424 2295479545530 2525027500083 3060639394040 3366703333444 4208379166805 4590959091060 5050055000166 6733406666888 8416758333610 9181918182120 10100110000332 12625137500415 16833516667220 20200220000664 25250275000830 33667033334440 50500550001660 101001100003320