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21023202300120 = 23325371578318491
BaseRepresentation
bin1001100011110110110001…
…00000010101000011011000
32202102210120010002220022200
410301323120200111003120
510223421004242100440
6112413531550250200
74266606360044526
oct461733040250330
982383503086280
1021023202300120
116775987696479
12243652bab6960
13b9663051c937
14529757db3316
15266cdd56cc30
hex131ed88150d8

21023202300120 has 96 divisors (see below), whose sum is σ = 70172040154320. Its totient is φ = 5454668701440.

The previous prime is 21023202300119. The next prime is 21023202300143. The reversal of 21023202300120 is 2100320232012.

21023202300120 is a `hidden beast` number, since 2 + 10 + 232 + 0 + 2 + 300 + 120 = 666.

It is a super-3 number, since 3×210232023001203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21023202300093 and 21023202300102.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 789145926 + ... + 789172565.

Almost surely, 221023202300120 is an apocalyptic number.

21023202300120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21023202300120 is an abundant number, since it is smaller than the sum of its proper divisors (49148837854200).

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

21023202300120 is a wasteful number, since it uses less digits than its factorization.

21023202300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578318545 (or 1578318538 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21023202300120 its reverse (2100320232012), we get a palindrome (23123522532132).

The spelling of 21023202300120 in words is "twenty-one trillion, twenty-three billion, two hundred two million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 1578318491 3156636982 4734955473 6313273964 7891592455 9469910946 12626547928 14204866419 15783184910 18939821892 23674777365 28409732838 31566369820 37879643784 47349554730 56819465676 58397784167 63132739640 71024332095 94699109460 113638931352 116795568334 142048664190 175193352501 189398218920 233591136668 284097328380 291988920835 350386705002 467182273336 525580057503 568194656760 583977841670 700773410004 875966762505 1051160115006 1167955683340 1401546820008 1751933525010 2102320230012 2335911366680 2627900287515 3503867050020 4204640460024 5255800575030 7007734100040 10511601150060 21023202300120