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23024242100000 = 2555713242851
BaseRepresentation
bin1010011110000101111111…
…10001011000011100100000
310000112002121000112001120102
411033002333301120130200
511004212121434200000
6120545105114001532
74564306116516251
oct517027761303440
9100462530461512
1023024242100000
1173775874742a9
1226ba3041162a8
13cb023b3178bb
145985449b0b28
1529dda798e3d5
hex14f0bfc58720

23024242100000 has 144 divisors (see below), whose sum is σ = 57455606480832. Its totient is φ = 9079980000000.

The previous prime is 23024242099927. The next prime is 23024242100003. The reversal of 23024242100000 is 124242032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23024242100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5478575 + ... + 8721425.

It is an arithmetic number, because the mean of its divisors is an integer number (398997267228).

Almost surely, 223024242100000 is an apocalyptic number.

23024242100000 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 23024242100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28727803240416).

23024242100000 is an abundant number, since it is smaller than the sum of its proper divisors (34431364380832).

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

23024242100000 is an frugal number, since it uses more digits than its factorization.

23024242100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242957 (or 3242929 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 23024242100000 its reverse (124242032), we get a palindrome (23024366342032).

The spelling of 23024242100000 in words is "twenty-three trillion, twenty-four billion, two hundred forty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 125 142 160 200 250 284 355 400 500 568 625 710 800 1000 1136 1250 1420 1775 2000 2272 2500 2840 3125 3550 4000 5000 5680 6250 7100 8875 10000 11360 12500 14200 17750 20000 25000 28400 35500 44375 50000 56800 71000 88750 100000 142000 177500 221875 284000 355000 443750 710000 887500 1420000 1775000 3242851 3550000 6485702 7100000 12971404 16214255 25942808 32428510 51885616 64857020 81071275 103771232 129714040 162142550 230242421 259428080 324285100 405356375 460484842 518856160 648570200 810712750 920969684 1151212105 1297140400 1621425500 1841939368 2026781875 2302424210 2594280800 3242851000 3683878736 4053563750 4604848420 5756060525 6485702000 7367757472 8107127500 9209696840 10133909375 11512121050 12971404000 16214255000 18419393680 20267818750 23024242100 28780302625 32428510000 36838787360 40535637500 46048484200 57560605250 64857020000 81071275000 92096968400 115121210500 143901513125 162142550000 184193936800 230242421000 287803026250 324285100000 460484842000 575606052500 719507565625 920969684000 1151212105000 1439015131250 2302424210000 2878030262500 4604848420000 5756060525000 11512121050000 23024242100000