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10021233232 = 2419612512153
BaseRepresentation
bin10010101010100111…
…11110001001010000
3221212101201101122101
421111103332021100
5131010413430412
64334221450144
7503223035263
oct112523761120
927771641571
1010021233232
1142827a793a
121b38110954
13c3921300a
146b0ccccda
153d9ba4457
hex2554fe250

10021233232 has 80 divisors (see below), whose sum is σ = 20865539520. Its totient is φ = 4648320000.

The previous prime is 10021233179. The next prime is 10021233241. The reversal of 10021233232 is 23233212001.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 4653468 + ... + 4655620.

It is an arithmetic number, because the mean of its divisors is an integer number (260819244).

Almost surely, 210021233232 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 10021233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10432769760).

10021233232 is an abundant number, since it is smaller than the sum of its proper divisors (10844306288).

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

10021233232 is a wasteful number, since it uses less digits than its factorization.

10021233232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10021233232 its reverse (23233212001), we get a palindrome (33254445233).

It can be divided in two parts, 10021 and 233232, that added together give a triangular number (243253 = T697).

The spelling of 10021233232 in words is "ten billion, twenty-one million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 61 76 122 152 244 251 304 488 502 976 1004 1159 2008 2153 2318 4016 4306 4636 4769 8612 9272 9538 15311 17224 18544 19076 30622 34448 38152 40907 61244 76304 81814 122488 131333 163628 244976 262666 290909 327256 525332 540403 581818 654512 1050664 1080806 1163636 2101328 2161612 2327272 2495327 4323224 4654544 4990654 8646448 9981308 10267657 19962616 20535314 32964583 39925232 41070628 65929166 82141256 131858332 164282512 263716664 527433328 626327077 1252654154 2505308308 5010616616 10021233232