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13100020041400 = 23521722817168863
BaseRepresentation
bin1011111010100001011000…
…0010101000011010111000
31201101100102220212002011021
42332220112002220122320
53204112320112311100
643510022141112224
72521305465050545
oct276502602503270
951340386762137
1013100020041400
1141a0761884236
121576a56258674
13740432694076
143340899c1bcc
1517ab6552ea1a
hexbea160a86b8

13100020041400 has 96 divisors (see below), whose sum is σ = 32250771354240. Its totient is φ = 4931526901760.

The previous prime is 13100020041391. The next prime is 13100020041401. The reversal of 13100020041400 is 414002000131.

It is a super-2 number, since 2×131000200414002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100020041401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77493369 + ... + 77662231.

It is an arithmetic number, because the mean of its divisors is an integer number (335945534940).

Almost surely, 213100020041400 is an apocalyptic number.

13100020041400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13100020041400 is an abundant number, since it is smaller than the sum of its proper divisors (19150751312840).

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

13100020041400 is a wasteful number, since it uses less digits than its factorization.

13100020041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191713 (or 191704 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13100020041400 its reverse (414002000131), we get a palindrome (13514022041531).

The spelling of 13100020041400 in words is "thirteen trillion, one hundred billion, twenty million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 22817 45634 91268 114085 168863 182536 228170 337726 387889 456340 570425 675452 775778 844315 912680 1140850 1350904 1551556 1688630 1939445 2281700 2870671 3103112 3377260 3878890 4221575 4563400 5741342 6754520 7757780 8443150 9697225 11482684 14353355 15515560 16886300 19394450 22965368 28706710 33772600 38788900 57413420 71766775 77577800 114826840 143533550 287067100 574134200 3852947071 7705894142 15411788284 19264735355 30823576568 38529470710 65500100207 77058941420 96323676775 131000200414 154117882840 192647353550 262000400828 327500501035 385294707100 524000801656 655001002070 770589414200 1310002004140 1637502505175 2620004008280 3275005010350 6550010020700 13100020041400