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10020232000 = 26531399011
BaseRepresentation
bin10010101010100000…
…01001101101000000
3221212022211112012201
421111100021231000
5131010134411000
64334144202544
7503211365242
oct112520115500
927768745181
1010020232000
114282183679
121b37909454
13c38c5237c
146b0b0c092
153d9a5796a
hex255409b40

10020232000 has 112 divisors (see below), whose sum is σ = 24996404160. Its totient is φ = 3978816000.

The previous prime is 10020231973. The next prime is 10020232031. The reversal of 10020232000 is 23202001.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1107495 + ... + 1116505.

It is an arithmetic number, because the mean of its divisors is an integer number (223182180).

Almost surely, 210020232000 is an apocalyptic number.

10020232000 is a gapful number since it is divisible by the number (10) 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 10020232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12498202080).

10020232000 is an abundant number, since it is smaller than the sum of its proper divisors (14976172160).

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

10020232000 is an equidigital number, since it uses as much as digits as its factorization.

10020232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9177 (or 9157 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10020232000 its reverse (23202001), we get a palindrome (10043434001).

The spelling of 10020232000 in words is "ten billion, twenty million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 139 160 200 250 278 320 400 500 556 695 800 1000 1112 1390 1600 2000 2224 2780 3475 4000 4448 5560 6950 8000 8896 9011 11120 13900 17375 18022 22240 27800 34750 36044 44480 45055 55600 69500 72088 90110 111200 139000 144176 180220 222400 225275 278000 288352 360440 450550 556000 576704 720880 901100 1112000 1126375 1252529 1441760 1802200 2252750 2505058 2883520 3604400 4505500 5010116 6262645 7208800 9011000 10020232 12525290 14417600 18022000 20040464 25050580 31313225 36044000 40080928 50101160 62626450 72088000 80161856 100202320 125252900 156566125 200404640 250505800 313132250 400809280 501011600 626264500 1002023200 1252529000 2004046400 2505058000 5010116000 10020232000