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21311431434 = 232192912891667
BaseRepresentation
bin10011110110010000…
…101010001100001010
32001000020012212222100
4103312100222030022
5322121211301214
613442413534230
71353055115106
oct236620521412
961006185870
1021311431434
119046824957
1241691a4376
1320182b5b77
141062540906
1584ae68309
hex4f642a30a

21311431434 has 96 divisors (see below), whose sum is σ = 50350248000. Its totient is φ = 6488923392.

The previous prime is 21311431381. The next prime is 21311431439. The reversal of 21311431434 is 43413411312.

21311431434 is a `hidden beast` number, since 2 + 1 + 311 + 4 + 314 + 34 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21311431398 and 21311431407.

It is not an unprimeable number, because it can be changed into a prime (21311431439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12783469 + ... + 12785135.

It is an arithmetic number, because the mean of its divisors is an integer number (524481750).

Almost surely, 221311431434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21311431434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25175124000).

21311431434 is an abundant number, since it is smaller than the sum of its proper divisors (29038816566).

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

21311431434 is a wasteful number, since it uses less digits than its factorization.

21311431434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 3009 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 21311431434 its reverse (43413411312), we get a palindrome (64724842746).

The spelling of 21311431434 in words is "twenty-one billion, three hundred eleven million, four hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 1102 1289 1653 1667 2578 3306 3334 3867 4959 5001 7734 9918 10002 11601 15003 23202 24491 30006 31673 37381 48343 48982 63346 73473 74762 95019 96686 112143 145029 146946 190038 220419 224286 285057 290058 336429 435087 440838 570114 672858 710239 870174 918517 1420478 1837034 2130717 2148763 2755551 4261434 4297526 5511102 6392151 6446289 8266653 12784302 12892578 16533306 19338867 38677734 40826497 62314127 81652994 122479491 124628254 186942381 244958982 367438473 373884762 560827143 734876946 1121654286 1183968413 2367936826 3551905239 7103810478 10655715717 21311431434