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23231100211000 = 23531121110009091
BaseRepresentation
bin1010100100000111010010…
…11110011100111100111000
310001020212112022112212201221
411102003221132130330320
511021104243123223000
6121224115313121424
74615251214454053
oct522035136347470
9101225468485657
1023231100211000
117447288487830
122732414559274
13cc68b6420906
145a4569835a9a
152a446305161a
hex1520e979cf38

23231100211000 has 128 divisors (see below), whose sum is σ = 59583724312320. Its totient is φ = 8407635600000.

The previous prime is 23231100210949. The next prime is 23231100211009. The reversal of 23231100211000 is 11200113232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23231100211009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2683546 + ... + 7325545.

It is an arithmetic number, because the mean of its divisors is an integer number (465497846190).

Almost surely, 223231100211000 is an apocalyptic number.

23231100211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23231100211000 is an abundant number, since it is smaller than the sum of its proper divisors (36352624101320).

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

23231100211000 is a wasteful number, since it uses less digits than its factorization.

23231100211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10009334 (or 10009320 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 23231100211000 its reverse (11200113232), we get a palindrome (23242300324232).

The spelling of 23231100211000 in words is "twenty-three trillion, two hundred thirty-one billion, one hundred million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 211 220 250 275 422 440 500 550 844 1000 1055 1100 1375 1688 2110 2200 2321 2750 4220 4642 5275 5500 8440 9284 10550 11000 11605 18568 21100 23210 26375 42200 46420 52750 58025 92840 105500 116050 211000 232100 290125 464200 580250 1160500 2321000 10009091 20018182 40036364 50045455 80072728 100090910 110100001 200181820 220200002 250227275 400363640 440400004 500454550 550500005 880800008 1000909100 1101000010 1251136375 2001818200 2111918201 2202000020 2502272750 2752500025 4223836402 4404000040 5004545500 5505000050 8447672804 10009091000 10559591005 11010000100 13762500125 16895345608 21119182010 22020000200 23231100211 27525000250 42238364020 46462200422 52797955025 55050000500 84476728040 92924400844 105595910050 110100001000 116155501055 185848801688 211191820100 232311002110 263989775125 422383640200 464622004220 527979550250 580777505275 929244008440 1055959100500 1161555010550 2111918201000 2323110021100 2903887526375 4646220042200 5807775052750 11615550105500 23231100211000