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23505531213000 = 2335315675000113
BaseRepresentation
bin1010101100000110011101…
…10101101001010011001000
310002020002212212220020011010
411112003032311221103020
511040103311442304000
6121554143022003520
74644134655466644
oct526031665512310
9102202785806133
1023505531213000
117542704644421
122777642a165a0
13101673cb834b5
145b3960bd7c24
152ab675ae5d50
hex1560ced694c8

23505531213000 has 128 divisors (see below), whose sum is σ = 73384073118720. Its totient is φ = 6264140313600.

The previous prime is 23505531212983. The next prime is 23505531213013. The reversal of 23505531213000 is 31213550532.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2200944 + ... + 7201056.

It is an arithmetic number, because the mean of its divisors is an integer number (573313071240).

Almost surely, 223505531213000 is an apocalyptic number.

23505531213000 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 23505531213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36692036559360).

23505531213000 is an abundant number, since it is smaller than the sum of its proper divisors (49878541905720).

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

23505531213000 is a wasteful number, since it uses less digits than its factorization.

23505531213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001704 (or 5001690 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 23505531213000 its reverse (31213550532), we get a palindrome (23536744763532).

The spelling of 23505531213000 in words is "twenty-three trillion, five hundred five billion, five hundred thirty-one million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1567 3000 3134 4701 6268 7835 9402 12536 15670 18804 23505 31340 37608 39175 47010 62680 78350 94020 117525 156700 188040 195875 235050 313400 391750 470100 587625 783500 940200 1175250 1567000 2350500 4701000 5000113 10000226 15000339 20000452 25000565 30000678 40000904 50001130 60001356 75001695 100002260 120002712 125002825 150003390 200004520 250005650 300006780 375008475 500011300 600013560 625014125 750016950 1000022600 1250028250 1500033900 1875042375 2500056500 3000067800 3750084750 5000113000 7500169500 7835177071 15000339000 15670354142 23505531213 31340708284 39175885355 47011062426 62681416568 78351770710 94022124852 117527656065 156703541420 188044249704 195879426775 235055312130 313407082840 391758853550 470110624260 587638280325 783517707100 940221248520 979397133875 1175276560650 1567035414200 1958794267750 2350553121300 2938191401625 3917588535500 4701106242600 5876382803250 7835177071000 11752765606500 23505531213000