Search a number
-
+
232100021000 = 2353292275981
BaseRepresentation
bin1101100000101000111…
…1010100001100001000
3211012002110010201010002
43120022033110030020
512300320101133000
6254343020542132
722524440425031
oct3301217241410
9735073121102
10232100021000
118a484458081
1238b959b1948
1318b6b7ab843
14b33b3bda88
15608661b8d5
hex360a3d4308

232100021000 has 96 divisors (see below), whose sum is σ = 562489953480. Its totient is φ = 89638304000.

The previous prime is 232100020951. The next prime is 232100021009. The reversal of 232100021000 is 120001232.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 486908356 + 231613112644 = 22066^2 + 481262^2 .

It is not an unprimeable number, because it can be changed into a prime (232100021009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703010 + ... + 978990.

Almost surely, 2232100021000 is an apocalyptic number.

232100021000 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 232100021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281244976740).

232100021000 is an abundant number, since it is smaller than the sum of its proper divisors (330389932480).

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

232100021000 is a wasteful number, since it uses less digits than its factorization.

232100021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276060 (or 276017 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 232100021000 its reverse (120001232), we get a palindrome (232220022232).

The spelling of 232100021000 in words is "two hundred thirty-two billion, one hundred million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 841 1000 1160 1450 1682 2900 3364 3625 4205 5800 6728 7250 8410 14500 16820 21025 29000 33640 42050 84100 105125 168200 210250 275981 420500 551962 841000 1103924 1379905 2207848 2759810 5519620 6899525 8003449 11039240 13799050 16006898 27598100 32013796 34497625 40017245 55196200 64027592 68995250 80034490 137990500 160068980 200086225 232100021 275981000 320137960 400172450 464200042 800344900 928400084 1000431125 1160500105 1600689800 1856800168 2000862250 2321000210 4001724500 4642000420 5802500525 8003449000 9284000840 11605001050 23210002100 29012502625 46420004200 58025005250 116050010500 232100021000