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134320011041300 = 2252710314391294627
BaseRepresentation
bin11110100010100111010000…
…100010110101101000010100
3122121120212102111221020111212
4132202213100202311220110
5120101144340311310200
61153401432231120552
740202205042531440
oct3642472042655024
9577525374836455
10134320011041300
1139886884576657
121309414bb13158
1359c4426c51956
1425251a219b820
15107de89910035
hex7a29d08b5a14

134320011041300 has 144 divisors (see below), whose sum is σ = 336581737390080. Its totient is φ = 45573735162240.

The previous prime is 134320011041299. The next prime is 134320011041329. The reversal of 134320011041300 is 3140110023431.

It is a super-2 number, since 2×1343200110413002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103104587 + ... + 104399213.

It is an arithmetic number, because the mean of its divisors is an integer number (2337373176320).

Almost surely, 2134320011041300 is an apocalyptic number.

134320011041300 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 134320011041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168290868695040).

134320011041300 is an abundant number, since it is smaller than the sum of its proper divisors (202261726348780).

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

134320011041300 is a wasteful number, since it uses less digits than its factorization.

134320011041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296190 (or 1296183 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 134320011041300 its reverse (3140110023431), we get a palindrome (137460121064731).

The spelling of 134320011041300 in words is "one hundred thirty-four trillion, three hundred twenty billion, eleven million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 103 140 175 206 350 412 515 700 721 1030 1439 1442 2060 2575 2878 2884 3605 5150 5756 7195 7210 10073 10300 14390 14420 18025 20146 28780 35975 36050 40292 50365 71950 72100 100730 143900 148217 201460 251825 296434 503650 592868 741085 1007300 1037519 1294627 1482170 2075038 2589254 2964340 3705425 4150076 5178508 5187595 6473135 7410850 9062389 10375190 12946270 14821700 18124778 20750380 25892540 25937975 32365675 36249556 45311945 51875950 64731350 90623890 103751900 129462700 133346581 181247780 226559725 266693162 453119450 533386324 666732905 906238900 933426067 1333465810 1862968253 1866852134 2666931620 3333664525 3725936506 3733704268 4667130335 6667329050 7451873012 9314841265 9334260670 13040777771 13334658100 18629682530 18668521340 23335651675 26081555542 37259365060 46574206325 46671303350 52163111084 65203888855 93148412650 93342606700 130407777710 186296825300 191885730059 260815555420 326019444275 383771460118 652038888550 767542920236 959428650295 1304077777100 1343200110413 1918857300590 2686400220826 3837714601180 4797143251475 5372800441652 6716000552065 9594286502950 13432001104130 19188573005900 26864002208260 33580002760325 67160005520650 134320011041300