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13310221002210 = 23351125391765087
BaseRepresentation
bin1100000110110000011011…
…1111101010010111100010
31202010110000012001021012000
43001230012333222113202
53221033313034032320
644150344153144430
72542426453535226
oct301540677522742
952113005037160
1013310221002210
114271918839260
1215ab73a0bb116
137571c1203112
1434030a7b8786
1518136930ac90
hexc1b06fea5e2

13310221002210 has 128 divisors (see below), whose sum is σ = 38735915212800. Its totient is φ = 3225447552960.

The previous prime is 13310221002209. The next prime is 13310221002317. The reversal of 13310221002210 is 1220012201331.

13310221002210 is a `hidden beast` number, since 1 + 331 + 0 + 22 + 100 + 2 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 6658287 + ... + 8423373.

It is an arithmetic number, because the mean of its divisors is an integer number (302624337600).

Almost surely, 213310221002210 is an apocalyptic number.

13310221002210 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 13310221002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19367957606400).

13310221002210 is an abundant number, since it is smaller than the sum of its proper divisors (25425694210590).

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

13310221002210 is a wasteful number, since it uses less digits than its factorization.

13310221002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767653 (or 1767647 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13310221002210 its reverse (1220012201331), we get a palindrome (14530233203541).

The spelling of 13310221002210 in words is "thirteen trillion, three hundred ten billion, two hundred twenty-one million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2539 2970 5078 7617 12695 15234 22851 25390 27929 38085 45702 55858 68553 76170 83787 114255 137106 139645 167574 228510 251361 279290 342765 418935 502722 685530 754083 837870 1256805 1508166 1765087 2513610 3530174 3770415 5295261 7540830 8825435 10590522 15885783 17650870 19415957 26476305 31771566 38831914 47657349 52952610 58247871 79428915 95314698 97079785 116495742 158857830 174743613 194159570 238286745 291239355 349487226 476573490 524230839 582478710 873718065 1048461678 1747436130 2621154195 4481555893 5242308390 8963111786 13444667679 22407779465 26889335358 40334003037 44815558930 49297114823 67223338395 80668006074 98594229646 121002009111 134446676790 147891344469 201670015185 242004018222 246485574115 295782688938 403340030370 443674033407 492971148230 605010045555 739456722345 887348066814 1210020091110 1331022100221 1478913444690 2218370167035 2662044200442 4436740334070 6655110501105 13310221002210