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23301433040431 = 7134767353230353
BaseRepresentation
bin1010100110001010010011…
…01000111001111000101111
310001111121001221011210202111
411103011021220321320233
511023232313324243211
6121320310333504451
74623321142604650
oct523051150717057
9101447057153674
1023301433040431
11747409a536547
122743b82942127
1310004147bbb50
145a7b1c729527
152a61cc9a8421
hex153149a39e2f

23301433040431 has 64 divisors (see below), whose sum is σ = 29810358079488. Its totient is φ = 17724292743168.

The previous prime is 23301433040401. The next prime is 23301433040437. The reversal of 23301433040431 is 13404033410332.

It is a cyclic number.

It is not a de Polignac number, because 23301433040431 - 29 = 23301433039919 is a prime.

It is a super-2 number, since 2×233014330404312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23301433040393 and 23301433040402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23301433040437) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 101040151 + ... + 101270503.

It is an arithmetic number, because the mean of its divisors is an integer number (465786844992).

Almost surely, 223301433040431 is an apocalyptic number.

23301433040431 is a deficient number, since it is larger than the sum of its proper divisors (6508925039057).

23301433040431 is a wasteful number, since it uses less digits than its factorization.

23301433040431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230840.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 23301433040431 its reverse (13404033410332), we get a palindrome (36705466450763).

The spelling of 23301433040431 in words is "twenty-three trillion, three hundred one billion, four hundred thirty-three million, forty thousand, four hundred thirty-one".

Divisors: 1 7 13 47 67 91 329 353 469 611 871 2471 3149 4277 4589 6097 16591 22043 23651 32123 40937 116137 165557 215683 230353 286559 307463 1111597 1509781 1612471 2152241 2994589 7781179 10826591 14450761 15433651 20962123 75786137 81314609 101155327 108035557 140745683 200637463 569202263 725381597 985219781 1057089917 1404462241 3821786623 5077671179 5448078803 7399629419 9429960761 26752506361 38136551621 49683226099 66009725327 70825024439 256059703741 347782582693 495775171073 1792417926187 3328776148633 23301433040431