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13420151303352 = 233191992743167
BaseRepresentation
bin1100001101001001111101…
…0110011110110010111000
31202111221202102022011200220
43003102133112132302320
53224333432213201402
644313044333100040
72553400600635063
oct303223726366270
952457672264626
1013420151303352
1143044aa603602
121608ab9627620
137646901385a1
143457786178da
15184150236dbc
hexc349f59ecb8

13420151303352 has 96 divisors (see below), whose sum is σ = 35494595481600. Its totient is φ = 4216640649408.

The previous prime is 13420151303263. The next prime is 13420151303393. The reversal of 13420151303352 is 25330315102431.

It is a super-2 number, since 2×134201513033522 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 17686473 + ... + 18429639.

It is an arithmetic number, because the mean of its divisors is an integer number (369735369600).

Almost surely, 213420151303352 is an apocalyptic number.

13420151303352 is a gapful number since it is divisible by the number (12) 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 13420151303352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17747297740800).

13420151303352 is an abundant number, since it is smaller than the sum of its proper divisors (22074444178248).

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

13420151303352 is a wasteful number, since it uses less digits than its factorization.

13420151303352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743593 (or 743390 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 13420151303352 its reverse (25330315102431), we get a palindrome (38750466405783).

The spelling of 13420151303352 in words is "thirteen trillion, four hundred twenty billion, one hundred fifty-one million, three hundred three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 199 228 398 456 597 796 1194 1592 2388 3781 4776 7562 11343 15124 22686 30248 39601 45372 79202 90744 118803 158404 237606 316808 475212 743167 752419 950424 1486334 1504838 2229501 2257257 2972668 3009676 4459002 4514514 5945336 6019352 8918004 9029028 14120173 17836008 18058056 28240346 42360519 56480692 84721038 112961384 147890233 169442076 295780466 338884152 443670699 591560932 887341398 1183121864 1774682796 2809914427 3549365592 5619828854 8429743281 11239657708 16859486562 22479315416 29430156367 33718973124 58860312734 67437946248 88290469101 117720625468 176580938202 235441250936 353161876404 559172970973 706323752808 1118345941946 1677518912919 2236691883892 3355037825838 4473383767784 6710075651676 13420151303352