Search a number
-
+
21002245040 = 2457283132523
BaseRepresentation
bin10011100011110101…
…001101001110110000
32000012200102120222102
4103203311031032300
5321003033320130
613352010555532
71342312065050
oct234365151660
960180376872
1021002245040
1189a8246607
1240a1738ba8
131c9921c93a
141033459560
1582dc42645
hex4e3d4d3b0

21002245040 has 80 divisors (see below), whose sum is σ = 56003582208. Its totient is φ = 7175271168.

The previous prime is 21002245007. The next prime is 21002245073. The reversal of 21002245040 is 4054220012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21002245007) and next prime (21002245073).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 92219 + ... + 224741.

Almost surely, 221002245040 is an apocalyptic number.

21002245040 is a gapful number since it is divisible by the number (20) 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 21002245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28001791104).

21002245040 is an abundant number, since it is smaller than the sum of its proper divisors (35001337168).

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

21002245040 is a wasteful number, since it uses less digits than its factorization.

21002245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132826 (or 132820 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 21002245040 its reverse (4054220012), we get a palindrome (25056465052).

The spelling of 21002245040 in words is "twenty-one billion, two million, two hundred forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 283 560 566 1132 1415 1981 2264 2830 3962 4528 5660 7924 9905 11320 15848 19810 22640 31696 39620 79240 132523 158480 265046 530092 662615 927661 1060184 1325230 1855322 2120368 2650460 3710644 4638305 5300920 7421288 9276610 10601840 14842576 18553220 37106440 37504009 74212880 75008018 150016036 187520045 262528063 300032072 375040090 525056126 600064144 750080180 1050112252 1312640315 1500160360 2100224504 2625280630 3000320720 4200449008 5250561260 10501122520 21002245040