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10021332330 = 23252232332143
BaseRepresentation
bin10010101010101000…
…10110010101101010
3221212101220102120200
421111110112111222
5131010430113310
64334223533030
7503223630222
oct112524262552
927771812520
1010021332330
114282865339
121b3815a176
13c39249159
146b0d17082
153d9bc39c0
hex25551656a

10021332330 has 96 divisors (see below), whose sum is σ = 26296897536. Its totient is φ = 2647717632.

The previous prime is 10021332313. The next prime is 10021332353. The reversal of 10021332330 is 3323312001.

10021332330 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 332 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4675239 + ... + 4677381.

It is an arithmetic number, because the mean of its divisors is an integer number (273926016).

Almost surely, 210021332330 is an apocalyptic number.

10021332330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021332330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13148448768).

10021332330 is an abundant number, since it is smaller than the sum of its proper divisors (16275565206).

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

10021332330 is a wasteful number, since it uses less digits than its factorization.

10021332330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10021332330 its reverse (3323312001), we get a palindrome (13344644331).

The spelling of 10021332330 in words is "ten billion, twenty-one million, three hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 223 233 446 466 669 699 1115 1165 1338 1398 2007 2097 2143 2230 2330 3345 3495 4014 4194 4286 6429 6690 6990 10035 10485 10715 12858 19287 20070 20970 21430 32145 38574 51959 64290 96435 103918 155877 192870 259795 311754 467631 477889 499319 519590 779385 935262 955778 998638 1433667 1497957 1558770 2338155 2389445 2496595 2867334 2995914 4301001 4493871 4676310 4778890 4993190 7168335 7489785 8602002 8987742 14336670 14979570 21505005 22469355 43010010 44938710 111348137 222696274 334044411 556740685 668088822 1002133233 1113481370 1670222055 2004266466 3340444110 5010666165 10021332330