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23303201414100 = 2235277677338047
BaseRepresentation
bin1010100110001101100110…
…00010101101101111010100
310001111202122011200111101120
411103012303002231233110
511023244424030222400
6121321202024123540
74623413024541216
oct523066302555724
9101452564614346
1023303201414100
117474917759893
1227443970065b0
131000636c878ba
145a7c4952c5b6
152a6282d65ca0
hex1531b30adbd4

23303201414100 has 36 divisors (see below), whose sum is σ = 67423929425664. Its totient is φ = 6214187043680.

The previous prime is 23303201414089. The next prime is 23303201414111. The reversal of 23303201414100 is 141410230332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23303201414089) and next prime (23303201414111).

It is a super-2 number, since 2×233032014141002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 38838668724 + ... + 38838669323.

Almost surely, 223303201414100 is an apocalyptic number.

23303201414100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23303201414100 is an abundant number, since it is smaller than the sum of its proper divisors (44120728011564).

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

23303201414100 is a wasteful number, since it uses less digits than its factorization.

23303201414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77677338064 (or 77677338057 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23303201414100 its reverse (141410230332), we get a palindrome (23444611644432).

The spelling of 23303201414100 in words is "twenty-three trillion, three hundred three billion, two hundred one million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 77677338047 155354676094 233032014141 310709352188 388386690235 466064028282 776773380470 932128056564 1165160070705 1553546760940 1941933451175 2330320141410 3883866902350 4660640282820 5825800353525 7767733804700 11651600707050 23303201414100