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21031201201320 = 2332558420003337
BaseRepresentation
bin1001100100000101101010…
…10001101101110010101000
32202110120012120110011221200
410302002311101231302220
510224033400001420240
6112421333410404200
74300311525430302
oct462026521556250
982416176404850
1021031201201320
116779311883322
122437ba2890660
13b9730676987b
14529cb6472972
1526710a8ec930
hex1320b546dca8

21031201201320 has 48 divisors (see below), whose sum is σ = 68351403905460. Its totient is φ = 5608320320256.

The previous prime is 21031201201279. The next prime is 21031201201333. The reversal of 21031201201320 is 2310210213012.

21031201201320 is a `hidden beast` number, since 2 + 10 + 312 + 0 + 1 + 20 + 1 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19538645424516 + 1492555776804 = 4420254^2 + 1221702^2 .

It is a super-2 number, since 2×210312012013202 (a number of 27 digits) contains 22 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 = 21031201201293 and 21031201201302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29210001309 + ... + 29210002028.

Almost surely, 221031201201320 is an apocalyptic number.

21031201201320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21031201201320 is an abundant number, since it is smaller than the sum of its proper divisors (47320202704140).

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

21031201201320 is a wasteful number, since it uses less digits than its factorization.

21031201201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58420003354 (or 58420003347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21031201201320 its reverse (2310210213012), we get a palindrome (23341411414332).

The spelling of 21031201201320 in words is "twenty-one trillion, thirty-one billion, two hundred one million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 58420003337 116840006674 175260010011 233680013348 292100016685 350520020022 467360026696 525780030033 584200033370 701040040044 876300050055 1051560060066 1168400066740 1402080080088 1752600100110 2103120120132 2336800133480 2628900150165 3505200200220 4206240240264 5257800300330 7010400400440 10515600600660 21031201201320