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13121642042430 = 2352711748392317
BaseRepresentation
bin1011111011110001111011…
…0100000001010000111110
31201110102020210110112112020
42332330132310001100332
53204441110330324210
643523555451421010
72523002344036455
oct276743664012076
951412223415466
1013121642042430
1141a9947941679
12157b08b454766
1374249a10890c
1433513b487b9c
1517b4cd893770
hexbef1ed0143e

13121642042430 has 64 divisors (see below), whose sum is σ = 31610297668608. Its totient is φ = 3485955553920.

The previous prime is 13121642042423. The next prime is 13121642042437. The reversal of 13121642042430 is 3424024612131.

It is an interprime number because it is at equal distance from previous prime (13121642042423) and next prime (13121642042437).

It is a junction number, because it is equal to n+sod(n) for n = 13121642042391 and 13121642042400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121642042437) 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, 142090632 + ... + 142182948.

It is an arithmetic number, because the mean of its divisors is an integer number (493910901072).

Almost surely, 213121642042430 is an apocalyptic number.

13121642042430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13121642042430 is an abundant number, since it is smaller than the sum of its proper divisors (18488655626178).

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

13121642042430 is a wasteful number, since it uses less digits than its factorization.

13121642042430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110081.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 13121642042430 its reverse (3424024612131), we get a palindrome (16545666654561).

The spelling of 13121642042430 in words is "thirteen trillion, one hundred twenty-one billion, six hundred forty-two million, forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 271 542 813 1355 1626 2710 4065 8130 17483 34966 52449 87415 92317 104898 174830 184634 262245 276951 461585 524490 553902 923170 1384755 2769510 4737893 9475786 14213679 23689465 25017907 28427358 47378930 50035814 71068395 75053721 125089535 142136790 150107442 250179070 375268605 750537210 1613978111 3227956222 4841934333 8069890555 9683868666 16139781110 24209671665 48419343330 437388068081 874776136162 1312164204243 2186940340405 2624328408486 4373880680810 6560821021215 13121642042430