Search a number
-
+
21014512112 = 2411433318389
BaseRepresentation
bin10011100100100100…
…000000000111110000
32000020112111211020102
4103210210000013300
5321014203341422
613353125531532
71342521256106
oct234444000760
960215454212
1021014512112
118a04164a90
1240a5873ba8
131c9b926369
141034d2dc76
1582ed67192
hex4e49001f0

21014512112 has 80 divisors (see below), whose sum is σ = 45592736640. Its totient is φ = 9300614400.

The previous prime is 21014512093. The next prime is 21014512133. The reversal of 21014512112 is 21121541012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2500814 + ... + 2509202.

It is an arithmetic number, because the mean of its divisors is an integer number (569909208).

Almost surely, 221014512112 is an apocalyptic number.

21014512112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21014512112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22796368320).

21014512112 is an abundant number, since it is smaller than the sum of its proper divisors (24578224528).

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

21014512112 is a wasteful number, since it uses less digits than its factorization.

21014512112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8782 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The spelling of 21014512112 in words is "twenty-one billion, fourteen million, five hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 331 344 473 662 688 946 1324 1892 2648 3641 3784 5296 7282 7568 8389 14233 14564 16778 28466 29128 33556 56932 58256 67112 92279 113864 134224 156563 184558 227728 313126 360727 369116 626252 721454 738232 1252504 1442908 1476464 2505008 2776759 2885816 3967997 5553518 5771632 7935994 11107036 15871988 22214072 30544349 31743976 44428144 61088698 63487952 119400637 122177396 238801274 244354792 477602548 488709584 955205096 1313407007 1910410192 2626814014 5253628028 10507256056 21014512112