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20152111434 = 237132311091447
BaseRepresentation
bin10010110001001010…
…001101000101001010
31221000102202022220120
4102301022031011022
5312232420031214
613131401404110
71312250056320
oct226112150512
957012668816
1020152111434
118601383654
123aa4a99636
131b920658c0
14d9259dd10
157ce2b5ea9
hex4b128d14a

20152111434 has 128 divisors (see below), whose sum is σ = 51844423680. Its totient is φ = 5075668224.

The previous prime is 20152111429. The next prime is 20152111439. The reversal of 20152111434 is 43411125102.

It is an interprime number because it is at equal distance from previous prime (20152111429) and next prime (20152111439).

It is a super-2 number, since 2×201521114342 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20152111439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13926099 + ... + 13927545.

It is an arithmetic number, because the mean of its divisors is an integer number (405034560).

Almost surely, 220152111434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20152111434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25922211840).

20152111434 is an abundant number, since it is smaller than the sum of its proper divisors (31692312246).

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

20152111434 is a wasteful number, since it uses less digits than its factorization.

20152111434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 20152111434 its reverse (43411125102), we get a palindrome (63563236536).

The spelling of 20152111434 in words is "twenty billion, one hundred fifty-two million, one hundred eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 273 299 322 483 546 598 897 966 1109 1447 1794 2093 2218 2894 3327 4186 4341 6279 6654 7763 8682 10129 12558 14417 15526 18811 20258 23289 25507 28834 30387 33281 37622 43251 46578 51014 56433 60774 66562 76521 86502 99843 100919 112866 131677 153042 178549 199686 201838 232967 263354 302757 331591 357098 395031 432653 465934 535647 605514 663182 698901 790062 865306 994773 1071294 1297959 1397802 1604723 1989546 2321137 2595918 3028571 3209446 4642274 4814169 6057142 6963411 9085713 9628338 11233061 13926822 18171426 20861399 22466122 33699183 36908629 41722798 62584197 67398366 73817258 110725887 125168394 146029793 221451774 258360403 292059586 438089379 479812177 516720806 775081209 876178758 959624354 1439436531 1550162418 2878873062 3358685239 6717370478 10076055717 20152111434