Search a number
-
+
13013303010304 = 210431491983503
BaseRepresentation
bin1011110101011110010101…
…0011011010010000000000
31201002001121110110110201211
42331113211103122100000
53201202221032312204
643402121234135504
72512115531334112
oct275274523322000
951061543413654
1013013303010304
114167a02325293
121562094a21594
137351c2a7014c
1432dbc0b093b2
1517878c4de804
hexbd5e54da400

13013303010304 has 88 divisors (see below), whose sum is σ = 26797535740800. Its totient is φ = 6312677597184.

The previous prime is 13013303010283. The next prime is 13013303010317. The reversal of 13013303010304 is 40301030331031.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5569017 + ... + 7552519.

It is an arithmetic number, because the mean of its divisors is an integer number (304517451600).

Almost surely, 213013303010304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13013303010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13398767870400).

13013303010304 is an abundant number, since it is smaller than the sum of its proper divisors (13784232730496).

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

13013303010304 is a wasteful number, since it uses less digits than its factorization.

13013303010304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983715 (or 1983697 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13013303010304 its reverse (40301030331031), we get a palindrome (53314333341335).

The spelling of 13013303010304 in words is "thirteen trillion, thirteen billion, three hundred three million, ten thousand, three hundred four".

Divisors: 1 2 4 8 16 32 43 64 86 128 149 172 256 298 344 512 596 688 1024 1192 1376 2384 2752 4768 5504 6407 9536 11008 12814 19072 22016 25628 38144 44032 51256 76288 102512 152576 205024 410048 820096 1640192 1983503 3280384 3967006 6560768 7934012 15868024 31736048 63472096 85290629 126944192 170581258 253888384 295541947 341162516 507776768 591083894 682325032 1015553536 1182167788 1364650064 2031107072 2364335576 2729300128 4728671152 5458600256 9457342304 10917200512 12708303721 18914684608 21834401024 25416607442 37829369216 43668802048 50833214884 75658738432 87337604096 101666429768 151317476864 203332859536 302634953728 406665719072 813331438144 1626662876288 3253325752576 6506651505152 13013303010304