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13431511142220 = 2235811313787991
BaseRepresentation
bin1100001101110100010001…
…1100110100111101001100
31202120001002002211210001210
43003131010130310331030
53230030213323022340
644322203453534420
72554252236653613
oct303350434647514
952501062753053
1013431511142220
1143092a9976696
12160b149aa4410
13765780782532
143461351d687a
151845b76a5180
hexc3744734f4c

13431511142220 has 96 divisors (see below), whose sum is σ = 37667035316736. Its totient is φ = 3576138854400.

The previous prime is 13431511142207. The next prime is 13431511142233. The reversal of 13431511142220 is 2224111513431.

13431511142220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13431511142207) and next prime (13431511142233).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152602425 + ... + 152690415.

It is an arithmetic number, because the mean of its divisors is an integer number (392364951216).

Almost surely, 213431511142220 is an apocalyptic number.

13431511142220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13431511142220 is an abundant number, since it is smaller than the sum of its proper divisors (24235524174516).

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

13431511142220 is a wasteful number, since it uses less digits than its factorization.

13431511142220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91951 (or 91949 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 13431511142220 its reverse (2224111513431), we get a palindrome (15655622655651).

The spelling of 13431511142220 in words is "thirteen trillion, four hundred thirty-one billion, five hundred eleven million, one hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 811 1622 2433 3137 3244 4055 4866 6274 8110 9411 9732 12165 12548 15685 16220 18822 24330 31370 37644 47055 48660 62740 87991 94110 175982 188220 263973 351964 439955 527946 879910 1055892 1319865 1759820 2544107 2639730 5088214 5279460 7632321 10176428 12720535 15264642 25441070 30529284 38161605 50882140 71360701 76323210 142721402 152646420 214082103 276027767 285442804 356803505 428164206 552055534 713607010 828083301 856328412 1070410515 1104111068 1380138835 1427214020 1656166602 2140821030 2760277670 3312333204 4140416505 4281642060 5520555340 8280833010 16561666020 223858519037 447717038074 671575557111 895434076148 1119292595185 1343151114222 2238585190370 2686302228444 3357877785555 4477170380740 6715755571110 13431511142220