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23112211213120 = 265331218204411
BaseRepresentation
bin1010100000101001110110…
…01000111010101101000000
310000211111122201221000122011
411100110323020322231000
511012132302032304440
6121053334145222304
74603542065606641
oct520247310725500
9100744581830564
1023112211213120
117400919771a87
122713374931994
13cb861a469c63
1459c8cbc936c8
152a13058a69ea
hex15053b23ab40

23112211213120 has 56 divisors (see below), whose sum is σ = 55202224965408. Its totient is φ = 9216954278400.

The previous prime is 23112211213093. The next prime is 23112211213151. The reversal of 23112211213120 is 2131211221132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23112211213091 and 23112211213100.

It is a congruent number.

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, 108996286 + ... + 109208125.

Almost surely, 223112211213120 is an apocalyptic number.

23112211213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23112211213120 is an abundant number, since it is smaller than the sum of its proper divisors (32090013752288).

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

23112211213120 is a wasteful number, since it uses less digits than its factorization.

23112211213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218204759 (or 218204749 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 23112211213120 its reverse (2131211221132), we get a palindrome (25243422434252).

The spelling of 23112211213120 in words is "twenty-three trillion, one hundred twelve billion, two hundred eleven million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 331 662 1324 1655 2648 3310 5296 6620 10592 13240 21184 26480 52960 105920 218204411 436408822 872817644 1091022055 1745635288 2182044110 3491270576 4364088220 6982541152 8728176440 13965082304 17456352880 34912705760 69825411520 72225660041 144451320082 288902640164 361128300205 577805280328 722256600410 1155610560656 1444513200820 2311221121312 2889026401640 4622442242624 5778052803280 11556105606560 23112211213120