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21221300023220 = 22511211877387643
BaseRepresentation
bin1001101001100111110000…
…00011001010111110110100
32210010201212212220220111002
410310303320003022332310
510240142210301220340
6113044533004102432
74320121411646663
oct464637003127664
983121785826432
1021221300023220
1168419a2696900
1224689b6534a18
13bac2106bba7b
1453518b596dda
1526c0349d4715
hex134cf80cafb4

21221300023220 has 72 divisors (see below), whose sum is σ = 49025646708192. Its totient is φ = 7710334202560.

The previous prime is 21221300023201. The next prime is 21221300023229. The reversal of 21221300023220 is 2232000312212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21221300023192 and 21221300023201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221300023229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 821282 + ... + 6566361.

It is an arithmetic number, because the mean of its divisors is an integer number (680911759836).

Almost surely, 221221300023220 is an apocalyptic number.

21221300023220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221300023220 is an abundant number, since it is smaller than the sum of its proper divisors (27804346684972).

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

21221300023220 is a wasteful number, since it uses less digits than its factorization.

21221300023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7388861 (or 7388848 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21221300023220 its reverse (2232000312212), we get a palindrome (23453300335432).

The spelling of 21221300023220 in words is "twenty-one trillion, two hundred twenty-one billion, three hundred million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1187 1210 2374 2420 4748 5935 11870 13057 23740 26114 52228 65285 130570 143627 261140 287254 574508 718135 1436270 2872540 7387643 14775286 29550572 36938215 73876430 81264073 147752860 162528146 325056292 406320365 812640730 893904803 1625281460 1787809606 3575619212 4469524015 8769132241 8939048030 17538264482 17878096060 35076528964 43845661205 87691322410 96460454651 175382644820 192920909302 385841818604 482302273255 964604546510 1061065001161 1929209093020 2122130002322 4244260004644 5305325005805 10610650011610 21221300023220