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23101500141450 = 234529173621833
BaseRepresentation
bin1010100000010101111001…
…01101011010111110001010
310000210111000021011012120000
411100022330231122332022
511011443333014011300
6121044403241543430
74603012465161513
oct520127455327612
9100714007135500
1023101500141450
1173a7322636335
1227112857a4b76
13cb7601364b23
1459c193513a0a
152a0dca38ac00
hex1502bcb5af8a

23101500141450 has 120 divisors (see below), whose sum is σ = 64195046670348. Its totient is φ = 6159718552320.

The previous prime is 23101500141403. The next prime is 23101500141463. The reversal of 23101500141450 is 5414100510132.

23101500141450 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 1 + 500 + 14 + 145 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 40269652929 + 23061230488521 = 200673^2 + 4802211^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 36839734 + ... + 37461566.

Almost surely, 223101500141450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23101500141450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32097523335174).

23101500141450 is an abundant number, since it is smaller than the sum of its proper divisors (41093546528898).

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

23101500141450 is a wasteful number, since it uses less digits than its factorization.

23101500141450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631030 (or 631016 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 23101500141450 its reverse (5414100510132), we get a palindrome (28515600651582).

The spelling of 23101500141450 in words is "twenty-three trillion, one hundred one billion, five hundred million, one hundred forty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 4050 9173 18346 27519 45865 55038 82557 91730 137595 165114 229325 247671 275190 412785 458650 495342 621833 687975 743013 825570 1238355 1243666 1375950 1486026 1865499 2063925 2476710 3109165 3715065 3730998 4127850 5596497 6191775 6218330 7430130 9327495 11192994 12383550 15545825 16789491 18575325 18654990 27982485 31091650 33578982 37150650 46637475 50368473 55964970 83947455 93274950 100736946 139912425 167894910 251842365 279824850 419737275 503684730 839474550 1259211825 2518423650 5704074109 11408148218 17112222327 28520370545 34224444654 51336666981 57040741090 85561111635 102673333962 142601852725 154010000943 171122223270 256683334905 285203705450 308020001886 427805558175 462030002829 513366669810 770050004715 855611116350 924060005658 1283416674525 1540100009430 2310150014145 2566833349050 3850250023575 4620300028290 7700500047150 11550750070725 23101500141450