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13312122023130 = 2357471871720869
BaseRepresentation
bin1100000110110111100001…
…0011011110110011011010
31202010121220200011010122020
43001231320103132303122
53221101211214220010
644151300542435310
72542524536126250
oct301557023366332
952117820133566
1013312122023130
114272703921427
1215abb8a892b36
13757435003578
1434044b06a5d0
1518142b16b470
hexc1b784decda

13312122023130 has 128 divisors (see below), whose sum is σ = 37310108958720. Its totient is φ = 2976435137280.

The previous prime is 13312122023117. The next prime is 13312122023227. The reversal of 13312122023130 is 3132022121331.

It is a self number, because there is not a number n which added to its sum of digits gives 13312122023130.

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, 18106336 + ... + 18827204.

It is an arithmetic number, because the mean of its divisors is an integer number (291485226240).

Almost surely, 213312122023130 is an apocalyptic number.

13312122023130 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 13312122023130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18655054479360).

13312122023130 is an abundant number, since it is smaller than the sum of its proper divisors (23997986935590).

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

13312122023130 is a wasteful number, since it uses less digits than its factorization.

13312122023130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722804.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13312122023130 its reverse (3132022121331), we get a palindrome (16444144144461).

The spelling of 13312122023130 in words is "thirteen trillion, three hundred twelve billion, one hundred twenty-two million, twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1410 1645 1871 1974 3290 3742 4935 5613 9355 9870 11226 13097 18710 26194 28065 39291 56130 65485 78582 87937 130970 175874 196455 263811 392910 439685 527622 615559 720869 879370 1231118 1319055 1441738 1846677 2162607 2638110 3077795 3604345 3693354 4325214 5046083 6155590 7208690 9233385 10092166 10813035 15138249 18466770 21626070 25230415 30276498 33880843 50460830 67761686 75691245 101642529 151382490 169404215 203285058 237165901 338808430 474331802 508212645 711497703 1016425290 1185829505 1348745899 1422995406 2371659010 2697491798 3557488515 4046237697 6743729495 7114977030 8092475394 9441221293 13487458990 18882442586 20231188485 28323663879 40462376970 47206106465 56647327758 63391057253 94412212930 126782114506 141618319395 190173171759 283236638790 316955286265 380346343518 443737400771 633910572530 887474801542 950865858795 1331212202313 1901731717590 2218687003855 2662424404626 4437374007710 6656061011565 13312122023130