Search a number
-
+
21321442032 = 24311115335023
BaseRepresentation
bin10011110110110110…
…110110001011110000
32001000221001110221020
4103312312312023300
5322131242121112
613443412255440
71353236160402
oct236666661360
961027043836
1021321442032
119051441a80
124170611580
13201a3ac4b7
1410639c8b72
1584bc9448c
hex4f6db62f0

21321442032 has 80 divisors (see below), whose sum is σ = 60141531648. Its totient is φ = 6455255040.

The previous prime is 21321442019. The next prime is 21321442063. The reversal of 21321442032 is 23024412312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21321441993 and 21321442011.

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, 591273 + ... + 626295.

Almost surely, 221321442032 is an apocalyptic number.

21321442032 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 21321442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30070765824).

21321442032 is an abundant number, since it is smaller than the sum of its proper divisors (38820089616).

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

21321442032 is a wasteful number, since it uses less digits than its factorization.

21321442032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36198 (or 36192 counting only the distinct ones).

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

Adding to 21321442032 its reverse (23024412312), we get a palindrome (44345854344).

The spelling of 21321442032 in words is "twenty-one billion, three hundred twenty-one million, four hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1153 2306 3459 4612 6918 9224 12683 13836 18448 25366 27672 35023 38049 50732 55344 70046 76098 101464 105069 140092 152196 202928 210138 280184 304392 385253 420276 560368 608784 770506 840552 1155759 1541012 1681104 2311518 3082024 4623036 6164048 9246072 18492144 40381519 80763038 121144557 161526076 242289114 323052152 444196709 484578228 646104304 888393418 969156456 1332590127 1776786836 1938312912 2665180254 3553573672 5330360508 7107147344 10660721016 21321442032