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23122003011000 = 2335336721000911
BaseRepresentation
bin1010100000111100000101…
…10001101010010110111000
310000212102221010220220010220
411100132002301222112320
511012312330232323000
6121102033533340040
74604336534533425
oct520360261522670
9100772833826126
1023122003011000
117404a93a01723
122715248037620
13cb951ac8a9ba
1459d17a4dad4c
152a16ca33a1a0
hex150782c6a5b8

23122003011000 has 128 divisors (see below), whose sum is σ = 72337221365760. Its totient is φ = 6149066448000.

The previous prime is 23122003010993. The next prime is 23122003011013. The reversal of 23122003011000 is 11030022132.

It is a super-2 number, since 2×231220030110002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 9399456 + ... + 11601455.

It is an arithmetic number, because the mean of its divisors is an integer number (565134541920).

Almost surely, 223122003011000 is an apocalyptic number.

23122003011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23122003011000 is an abundant number, since it is smaller than the sum of its proper divisors (49215218354760).

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

23122003011000 is a wasteful number, since it uses less digits than its factorization.

23122003011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21001302 (or 21001288 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23122003011000 its reverse (11030022132), we get a palindrome (23133033033132).

The spelling of 23122003011000 in words is "twenty-three trillion, one hundred twenty-two billion, three million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 367 375 500 600 734 750 1000 1101 1468 1500 1835 2202 2936 3000 3670 4404 5505 7340 8808 9175 11010 14680 18350 22020 27525 36700 44040 45875 55050 73400 91750 110100 137625 183500 220200 275250 367000 550500 1101000 21000911 42001822 63002733 84003644 105004555 126005466 168007288 210009110 252010932 315013665 420018220 504021864 525022775 630027330 840036440 1050045550 1260054660 1575068325 2100091100 2520109320 2625113875 3150136650 4200182200 5250227750 6300273300 7707334337 7875341625 10500455500 12600546600 15414668674 15750683250 21000911000 23122003011 30829337348 31501366500 38536671685 46244006022 61658674696 63002733000 77073343370 92488012044 115610015055 154146686740 184976024088 192683358425 231220030110 308293373480 385366716850 462440060220 578050075275 770733433700 924880120440 963416792125 1156100150550 1541466867400 1926833584250 2312200301100 2890250376375 3853667168500 4624400602200 5780500752750 7707334337000 11561001505500 23122003011000