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23133033101400 = 23352291329484661
BaseRepresentation
bin1010100001010000101000…
…01110000111100001011000
310000220111101211222112122120
411100220110032013201120
511013002422433221100
6121111100234421240
74605210061002405
oct520502416074130
9100814354875576
1023133033101400
117409734121912
122717405b91820
13cba5881bc501
1459d9053a12ac
152a1b238700a0
hex150a14387858

23133033101400 has 96 divisors (see below), whose sum is σ = 74185244139600. Its totient is φ = 5956091276800.

The previous prime is 23133033101363. The next prime is 23133033101443. The reversal of 23133033101400 is 410133033132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664724931 + ... + 664759730.

Almost surely, 223133033101400 is an apocalyptic number.

23133033101400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23133033101400 is an abundant number, since it is smaller than the sum of its proper divisors (51052211038200).

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

23133033101400 is a wasteful number, since it uses less digits than its factorization.

23133033101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329484709 (or 1329484700 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 23133033101400 its reverse (410133033132), we get a palindrome (23543166134532).

The spelling of 23133033101400 in words is "twenty-three trillion, one hundred thirty-three billion, thirty-three million, one hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 2175 2900 3480 4350 5800 8700 17400 1329484661 2658969322 3988453983 5317938644 6647423305 7976907966 10635877288 13294846610 15953815932 19942269915 26589693220 31907631864 33237116525 38555055169 39884539830 53179386440 66474233050 77110110338 79769079660 99711349575 115665165507 132948466100 154220220676 159538159320 192775275845 199422699150 231330331014 265896932200 308440441352 385550551690 398845398300 462660662028 578325827535 771101103380 797690796600 925321324056 963876379225 1156651655070 1542202206760 1927752758450 2313303310140 2891629137675 3855505516900 4626606620280 5783258275350 7711011033800 11566516550700 23133033101400