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13100020010420 = 22571013172922559
BaseRepresentation
bin1011111010100001011000…
…0010100000110110110100
31201101100102220210111122212
42332220112002200312310
53204112320110313140
643510022140312552
72521305464561330
oct276502602406664
951340386714585
1013100020010420
1141a0761862a32
121576a56242758
13740432682c35
143340899b47c0
1517ab65525765
hexbea160a0db4

13100020010420 has 96 divisors (see below), whose sum is σ = 31851508469760. Its totient is φ = 4432935974400.

The previous prime is 13100020010419. The next prime is 13100020010437. The reversal of 13100020010420 is 2401002000131.

It is a super-2 number, since 2×131000200104202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 13100020010395 and 13100020010404.

It is a congruent number.

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, 3021101 + ... + 5943659.

It is an arithmetic number, because the mean of its divisors is an integer number (331786546560).

Almost surely, 213100020010420 is an apocalyptic number.

13100020010420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13100020010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15925754234880).

13100020010420 is an abundant number, since it is smaller than the sum of its proper divisors (18751488459340).

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

13100020010420 is a wasteful number, since it uses less digits than its factorization.

13100020010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922993 (or 2922991 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13100020010420 its reverse (2401002000131), we get a palindrome (15501022010551).

The spelling of 13100020010420 in words is "thirteen trillion, one hundred billion, twenty million, ten thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 317 404 505 634 707 1010 1268 1414 1585 2020 2219 2828 3170 3535 4438 6340 7070 8876 11095 14140 22190 32017 44380 64034 128068 160085 224119 320170 448238 640340 896476 1120595 2241190 2922559 4482380 5845118 11690236 14612795 20457913 29225590 40915826 58451180 81831652 102289565 204579130 295178459 409158260 590356918 926451203 1180713836 1475892295 1852902406 2066249213 2951784590 3705804812 4132498426 4632256015 5903569180 6485158421 8264996852 9264512030 10331246065 12970316842 18529024060 20662492130 25940633684 32425792105 41324984260 64851584210 93571571503 129703168420 187143143006 374286286012 467857857515 655001000521 935715715030 1310002001042 1871431430060 2620004002084 3275005002605 6550010005210 13100020010420