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23301131340432 = 2431126016675379
BaseRepresentation
bin1010100110001001101111…
…01010000000101010010000
310001111120021220110212011110
411103010313222000222100
511023231204110343212
6121320220355213320
74623310520315061
oct523046752005220
9101446256425143
1023301131340432
117473a55200900
122743ab98a7240
13100039714733a
145a7ad0632568
152a61b1260a3c
hex153137a80a90

23301131340432 has 120 divisors (see below), whose sum is σ = 66274400909920. Its totient is φ = 7049199168000.

The previous prime is 23301131340413. The next prime is 23301131340457. The reversal of 23301131340432 is 23404313110332.

It is a self number, because there is not a number n which added to its sum of digits gives 23301131340432.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152919 + ... + 6828297.

Almost surely, 223301131340432 is an apocalyptic number.

23301131340432 is a gapful number since it is divisible by the number (22) 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 23301131340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33137200454960).

23301131340432 is an abundant number, since it is smaller than the sum of its proper divisors (42973269569488).

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

23301131340432 is a wasteful number, since it uses less digits than its factorization.

23301131340432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6676013 (or 6675996 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 23301131340432 its reverse (23404313110332), we get a palindrome (46705444450764).

The spelling of 23301131340432 in words is "twenty-three trillion, three hundred one billion, one hundred thirty-one million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 601 726 968 1202 1452 1803 1936 2404 2904 3606 4808 5808 6611 7212 9616 13222 14424 19833 26444 28848 39666 52888 72721 79332 105776 145442 158664 218163 290884 317328 436326 581768 872652 1163536 1745304 3490608 6675379 13350758 20026137 26701516 40052274 53403032 73429169 80104548 106806064 146858338 160209096 220287507 293716676 320418192 440575014 587433352 807720859 881150028 1174866704 1615441718 1762300056 2423162577 3230883436 3524600112 4011902779 4846325154 6461766872 8023805558 9692650308 12035708337 12923533744 16047611116 19385300616 24071416674 32095222232 38770601232 44130930569 48142833348 64190444464 88261861138 96285666696 132392791707 176523722276 192571333392 264785583414 353047444552 485440236259 529571166828 706094889104 970880472518 1059142333656 1456320708777 1941760945036 2118284667312 2912641417554 3883521890072 5825282835108 7767043780144 11650565670216 23301131340432