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230202121120 = 2551837978283
BaseRepresentation
bin1101011001100100011…
…1011001101110100000
3211000012011220101220221
43112121013121232200
512232423220333440
6253430422212424
722426423513156
oct3263107315640
9730164811827
10230202121120
11896a0106884
1238746284114
1318928531b6a
14b1db3013d6
155ec4bc5d4a
hex35991d9ba0

230202121120 has 48 divisors (see below), whose sum is σ = 543889049760. Its totient is φ = 92074662144.

The previous prime is 230202121117. The next prime is 230202121141. The reversal of 230202121120 is 21121202032.

It is a happy number.

230202121120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 230202121094 and 230202121103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2901499 + ... + 2979781.

It is an arithmetic number, because the mean of its divisors is an integer number (11331021870).

Almost surely, 2230202121120 is an apocalyptic number.

230202121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230202121120 is an abundant number, since it is smaller than the sum of its proper divisors (313686928640).

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

230202121120 is a wasteful number, since it uses less digits than its factorization.

230202121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96677 (or 96669 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 230202121120 its reverse (21121202032), we get a palindrome (251323323152).

The spelling of 230202121120 in words is "two hundred thirty billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 18379 36758 73516 78283 91895 147032 156566 183790 294064 313132 367580 391415 588128 626264 735160 782830 1252528 1470320 1565660 2505056 2940640 3131320 6262640 12525280 1438763257 2877526514 5755053028 7193816285 11510106056 14387632570 23020212112 28775265140 46040424224 57550530280 115101060560 230202121120