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21134004342 = 231117192343103
BaseRepresentation
bin10011101011101011…
…110101000001110110
32000112212100122202120
4103223223311001312
5321240301114332
613413035020410
71345502034003
oct235353650166
960485318676
1021134004342
118a6565a2a0
12411989a706
131cba603119
141046b568aa
1583a5bc32c
hex4ebaf5076

21134004342 has 128 divisors (see below), whose sum is σ = 53628272640. Its totient is φ = 5461885440.

The previous prime is 21134004329. The next prime is 21134004371. The reversal of 21134004342 is 24340043112.

It is a super-2 number, since 2×211340043422 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468763 + ... + 511865.

It is an arithmetic number, because the mean of its divisors is an integer number (418970880).

Almost surely, 221134004342 is an apocalyptic number.

21134004342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21134004342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26814136320).

21134004342 is an abundant number, since it is smaller than the sum of its proper divisors (32494268298).

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

21134004342 is a wasteful number, since it uses less digits than its factorization.

21134004342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43178.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21134004342 its reverse (24340043112), we get a palindrome (45474047454).

The spelling of 21134004342 in words is "twenty-one billion, one hundred thirty-four million, four thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 17 19 22 23 33 34 38 46 51 57 66 69 102 114 138 187 209 253 323 374 391 418 437 506 561 627 646 759 782 874 969 1122 1173 1254 1311 1518 1938 2346 2622 3553 4301 4807 7106 7429 8602 9614 10659 12903 14421 14858 21318 22287 25806 28842 43103 44574 81719 86206 129309 163438 245157 258618 474133 490314 732751 818957 948266 991369 1422399 1465502 1637914 1982738 2198253 2456871 2844798 2974107 4396506 4913742 5948214 8060261 9008527 10905059 13922269 16120522 16853273 18017054 18836011 21810118 24180783 27025581 27844538 32715177 33706546 37672022 41766807 48361566 50559819 54051162 56508033 65430354 83533614 101119638 113016066 153144959 185386003 207196121 306289918 320212187 370772006 414392242 459434877 556158009 621588363 640424374 918869754 960636561 1112316018 1243176726 1921273122 3522334057 7044668114 10567002171 21134004342