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20311111216 = 24111723319521
BaseRepresentation
bin10010111010101000…
…101111011000110000
31221102111221100121101
4102322220233120300
5313044121024331
613155241334144
71316220411454
oct227250573060
957374840541
1020311111216
118683102530
123b2a197354
131bb8c96006
14da974c664
157dd222061
hex4baa2f630

20311111216 has 160 divisors (see below), whose sum is σ = 48967151616. Its totient is φ = 8042496000.

The previous prime is 20311111157. The next prime is 20311111217. The reversal of 20311111216 is 61211111302.

It is a junction number, because it is equal to n+sod(n) for n = 20311111193 and 20311111202.

It is not an unprimeable number, because it can be changed into a prime (20311111217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128536 + ... + 2138056.

Almost surely, 220311111216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311111216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24483575808).

20311111216 is an abundant number, since it is smaller than the sum of its proper divisors (28656040400).

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

20311111216 is a wasteful number, since it uses less digits than its factorization.

20311111216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9611 (or 9605 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 20311111216 its reverse (61211111302), we get a palindrome (81522222518).

The spelling of 20311111216 in words is "twenty billion, three hundred eleven million, one hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 23 31 34 44 46 62 68 88 92 124 136 176 184 187 248 253 272 341 368 374 391 496 506 527 682 713 748 782 1012 1054 1364 1426 1496 1564 2024 2108 2728 2852 2992 3128 4048 4216 4301 5456 5704 5797 6256 7843 8432 8602 9521 11408 11594 12121 15686 17204 19042 23188 24242 31372 34408 38084 46376 48484 62744 68816 76168 92752 96968 104731 125488 133331 152336 161857 193936 209462 218983 266662 295151 323714 418924 437966 533324 590302 647428 837848 875932 1066648 1180604 1294856 1675696 1751864 1780427 2133296 2361208 2408813 2589712 3246661 3503728 3560854 3722711 4722416 4817626 5017567 6493322 6788473 7121708 7445422 9635252 10035134 12986644 13576946 14243416 14890844 19270504 20070268 25973288 27153892 28486832 29781688 38541008 40140536 40949821 51946576 54307784 55193237 59563376 74673203 80281072 81899642 108615568 110386474 115404041 149346406 163799284 220772948 230808082 298692812 327598568 441545896 461616164 597385624 655197136 883091792 923232328 1194771248 1269444451 1846464656 2538888902 5077777804 10155555608 20311111216