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21213560223144 = 2334115128442203
BaseRepresentation
bin1001101001011001010101…
…01110001011010110101000
32210002222220111010022210000
410310230222232023112220
510240030332404120034
6113041213001223000
74316425540513122
oct464545256132650
983088814108700
1021213560223144
116839690789513
1224673b6491a60
13bab57904cc03
14534a556a2212
1526bc30285599
hex134b2ab8b5a8

21213560223144 has 80 divisors (see below), whose sum is σ = 59469235499520. Its totient is φ = 7065042976800.

The previous prime is 21213560223143. The next prime is 21213560223181. The reversal of 21213560223144 is 44132206531212.

It is a happy number.

21213560223144 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 5 + 602 + 2 + 3 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21213560223099 and 21213560223108.

It is not an unprimeable number, because it can be changed into a prime (21213560223143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13475254 + ... + 14966949.

It is an arithmetic number, because the mean of its divisors is an integer number (743365443744).

Almost surely, 221213560223144 is an apocalyptic number.

21213560223144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21213560223144 is an abundant number, since it is smaller than the sum of its proper divisors (38255675276376).

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

21213560223144 is a wasteful number, since it uses less digits than its factorization.

21213560223144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28443372 (or 28443359 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 21213560223144 its reverse (44132206531212), we get a palindrome (65345766754356).

The spelling of 21213560223144 in words is "twenty-one trillion, two hundred thirteen billion, five hundred sixty million, two hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1151 2302 3453 4604 6906 9208 10359 13812 20718 27624 31077 41436 62154 82872 93231 124308 186462 248616 372924 745848 28442203 56884406 85326609 113768812 170653218 227537624 255979827 341306436 511959654 682612872 767939481 1023919308 1535878962 2047838616 2303818443 3071757924 4607636886 6143515848 9215273772 18430547544 32736975653 65473951306 98210926959 130947902612 196421853918 261895805224 294632780877 392843707836 589265561754 785687415672 883898342631 1178531123508 1767796685262 2357062247016 2651695027893 3535593370524 5303390055786 7071186741048 10606780111572 21213560223144