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21223113120 = 25325111339843
BaseRepresentation
bin10011110000111111…
…110000000110100000
32000210002000212000200
4103300333300012200
5321431104104440
613425540545200
71350633325236
oct236077600640
960702025020
1021223113120
119000992010
1241436b2200
132002c02501
141054910956
1584331ec30
hex4f0ff01a0

21223113120 has 144 divisors (see below), whose sum is σ = 79007920992. Its totient is φ = 5144993280.

The previous prime is 21223113103. The next prime is 21223113139. The reversal of 21223113120 is 2131132212.

21223113120 is a `hidden beast` number, since 21 + 22 + 311 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×212231131202 (a number of 21 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 = 21223113093 and 21223113102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 654082 + ... + 685761.

It is an arithmetic number, because the mean of its divisors is an integer number (548666118).

Almost surely, 221223113120 is an apocalyptic number.

21223113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21223113120 is an abundant number, since it is smaller than the sum of its proper divisors (57784807872).

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

21223113120 is a wasteful number, since it uses less digits than its factorization.

21223113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339875 (or 1339864 counting only the distinct ones).

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

Adding to 21223113120 its reverse (2131132212), we get a palindrome (23354245332).

The spelling of 21223113120 in words is "twenty-one billion, two hundred twenty-three million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 1339843 2679686 4019529 5359372 6699215 8039058 10718744 12058587 13398430 14738273 16078116 20097645 21437488 24117174 26796860 29476546 32156232 40195290 42874976 44214819 48234348 53593720 58953092 60292935 64312464 73691365 80390580 88429638 96468696 107187440 117906184 120585870 128624928 132644457 147382730 160781160 176859276 192937392 214374880 221074095 235812368 241171740 265288914 294765460 321562320 353718552 385874784 442148190 471624736 482343480 530577828 589530920 643124640 663222285 707437104 884296380 964686960 1061155656 1179061840 1326444570 1414874208 1768592760 1929373920 2122311312 2358123680 2652889140 3537185520 4244622624 5305778280 7074371040 10611556560 21223113120