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13114412210020 = 22511198935251901
BaseRepresentation
bin1011111011010110111111…
…1000011001011101100100
31201102201120221020222221111
42332311233320121131210
53204331304011210040
643520402223154404
72522325234343042
oct276655770313544
951381527228844
1013114412210020
1141a6877889570
1215797b2145a04
137418b7301a84
14334a531c1392
1517b208ccadea
hexbed6fe19764

13114412210020 has 96 divisors (see below), whose sum is σ = 31980525494400. Its totient is φ = 4467120768000.

The previous prime is 13114412209961. The next prime is 13114412210023. The reversal of 13114412210020 is 2001221441131.

It is a super-2 number, since 2×131144122100202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13114412209973 and 13114412210000.

It is not an unprimeable number, because it can be changed into a prime (13114412210023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17253931 + ... + 17997970.

It is an arithmetic number, because the mean of its divisors is an integer number (333130473900).

Almost surely, 213114412210020 is an apocalyptic number.

13114412210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114412210020 is an abundant number, since it is smaller than the sum of its proper divisors (18866113284380).

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

13114412210020 is a wasteful number, since it uses less digits than its factorization.

13114412210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35252029 (or 35252027 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 13114412210020 its reverse (2001221441131), we get a palindrome (15115633651151).

The spelling of 13114412210020 in words is "thirteen trillion, one hundred fourteen billion, four hundred twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 89 95 110 178 190 209 220 356 380 418 445 836 890 979 1045 1691 1780 1958 2090 3382 3916 4180 4895 6764 8455 9790 16910 18601 19580 33820 37202 74404 93005 186010 372020 35251901 70503802 141007604 176259505 352519010 387770911 669786119 705038020 775541822 1339572238 1551083644 1938854555 2679144476 3137419189 3348930595 3877709110 6274838378 6697861190 7367647309 7755418220 12549676756 13395722380 14735294618 15687095945 29470589236 31374191890 34511611079 36838236545 59610964591 62748383780 69023222158 73676473090 119221929182 138046444316 147352946180 172558055395 238443858364 298054822955 345116110790 596109645910 655720610501 690232221580 1192219291820 1311441221002 2622882442004 3278603052505 6557206105010 13114412210020