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22000300104312 = 23322313285205377
BaseRepresentation
bin1010000000010010110000…
…00100101001101001111000
32212220012121202000020100100
411000021120010221221320
510340423103311314222
6114442444235235400
74430316642252435
oct500113004515170
985805552006310
1022000300104312
117012302953712
12257397bba8b60
13c37808a8150a
14560b6a90ab8c
152824293934ac
hex140258129a78

22000300104312 has 48 divisors (see below), whose sum is σ = 62174761169040. Its totient is φ = 7014588438528.

The previous prime is 22000300104287. The next prime is 22000300104317. The reversal of 22000300104312 is 21340100300022.

22000300104312 is a `hidden beast` number, since 2 + 200 + 0 + 30 + 0 + 1 + 0 + 431 + 2 = 666.

It is a super-3 number, since 3×220003001043123 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000300104317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6642601033 + ... + 6642604344.

It is an arithmetic number, because the mean of its divisors is an integer number (1295307524355).

Almost surely, 222000300104312 is an apocalyptic number.

It is an amenable number.

22000300104312 is an abundant number, since it is smaller than the sum of its proper divisors (40174461064728).

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

22000300104312 is a wasteful number, since it uses less digits than its factorization.

22000300104312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13285205412 (or 13285205405 counting only the distinct ones).

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

Adding to 22000300104312 its reverse (21340100300022), we get a palindrome (43340400404334).

The spelling of 22000300104312 in words is "twenty-two trillion, three hundred million, one hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 13285205377 26570410754 39855616131 53140821508 79711232262 106281643016 119566848393 159422464524 239133696786 305559723671 318844929048 478267393572 611119447342 916679171013 956534787144 1222238894684 1833358342026 2444477789368 2750037513039 3666716684052 5500075026078 7333433368104 11000150052156 22000300104312