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31121422400 = 2652191023731
BaseRepresentation
bin11100111110111110…
…110011100001000000
32222022220110001201002
4130332332303201000
51002214041004100
622144052031132
72151134503625
oct347676634100
988286401632
1031121422400
1112220260302
1260466024a8
132c1c806753
14171336234c
15c222e22d5
hex73efb3840

31121422400 has 84 divisors (see below), whose sum is σ = 80608657680. Its totient is φ = 11793369600.

The previous prime is 31121422399. The next prime is 31121422421. The reversal of 31121422400 is 422412113.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 481466 + ... + 542265.

Almost surely, 231121422400 is an apocalyptic number.

It is an amenable number.

31121422400 is an abundant number, since it is smaller than the sum of its proper divisors (49487235280).

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

31121422400 is a wasteful number, since it uses less digits than its factorization.

31121422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023772 (or 1023757 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 31121422400 its reverse (422412113), we get a palindrome (31543834513).

The spelling of 31121422400 in words is "thirty-one billion, one hundred twenty-one million, four hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 152 160 190 200 304 320 380 400 475 608 760 800 950 1216 1520 1600 1900 3040 3800 6080 7600 15200 30400 1023731 2047462 4094924 5118655 8189848 10237310 16379696 19450889 20474620 25593275 32759392 38901778 40949240 51186550 65518784 77803556 81898480 97254445 102373100 155607112 163796960 194508890 204746200 311214224 327593920 389017780 409492400 486272225 622428448 778035560 818984800 972544450 1244856896 1556071120 1637969600 1945088900 3112142240 3890177800 6224284480 7780355600 15560711200 31121422400