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13422140204010 = 23519891671584311
BaseRepresentation
bin1100001101010001010111…
…1001100010001111101010
31202112010220000202210111020
43003110111321202033222
53224402020343012020
644314013542113310
72553501101211216
oct303242571421752
952463800683436
1013422140204010
11430533025a05a
12160937371b836
137649191c7895
143458c6823946
15184219b55c40
hexc3515e623ea

13422140204010 has 128 divisors (see below), whose sum is σ = 34494908313600. Its totient is φ = 3332678469120.

The previous prime is 13422140204009. The next prime is 13422140204047. The reversal of 13422140204010 is 1040204122431.

13422140204010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134221402040102 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7679755 + ... + 9264065.

It is an arithmetic number, because the mean of its divisors is an integer number (269491471200).

Almost surely, 213422140204010 is an apocalyptic number.

13422140204010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13422140204010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17247454156800).

13422140204010 is an abundant number, since it is smaller than the sum of its proper divisors (21072768109590).

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

13422140204010 is a wasteful number, since it uses less digits than its factorization.

13422140204010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584596.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13422140204010 its reverse (1040204122431), we get a palindrome (14462344326441).

The spelling of 13422140204010 in words is "thirteen trillion, four hundred twenty-two billion, one hundred forty million, two hundred four thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 89 95 114 167 178 190 267 285 334 445 501 534 570 835 890 1002 1335 1670 1691 2505 2670 3173 3382 5010 5073 6346 8455 9519 10146 14863 15865 16910 19038 25365 29726 31730 44589 47595 50730 74315 89178 95190 148630 222945 282397 445890 564794 847191 1411985 1584311 1694382 2823970 3168622 4235955 4752933 7921555 8471910 9505866 15843110 23764665 30101909 47529330 60203818 90305727 141003679 150509545 180611454 264579937 282007358 301019090 423011037 451528635 529159874 705018395 793739811 846022074 903057270 1322899685 1410036790 1587479622 2115055185 2645799370 2679069901 3968699055 4230110370 5027018803 5358139802 7937398110 8037209703 10054037606 13395349505 15081056409 16074419406 23547614393 25135094015 26790699010 30162112818 40186048515 47095228786 50270188030 70642843179 75405282045 80372097030 117738071965 141285686358 150810564090 235476143930 353214215895 447404673467 706428431790 894809346934 1342214020401 2237023367335 2684428040802 4474046734670 6711070102005 13422140204010