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213312140201400 = 233522331115251179
BaseRepresentation
bin110000100000000110011010…
…010101111100110110111000
31000222021102220210222202002220
4300200012122111330312320
5210424401230342421100
62033402124441524040
762634202455115002
oct6040063225746670
91028242823882086
10213312140201400
1161a71197120339
121bb113a41a3620
13920432cc88606
143a96511263372
15199db11aebaa0
hexc2019a57cdb8

213312140201400 has 96 divisors (see below), whose sum is σ = 661296045177600. Its totient is φ = 56880793468800.

The previous prime is 213312140201389. The next prime is 213312140201401. The reversal of 213312140201400 is 4102041213312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213312140201401) 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, 6361011 + ... + 21612189.

It is an arithmetic number, because the mean of its divisors is an integer number (6888500470600).

Almost surely, 2213312140201400 is an apocalyptic number.

213312140201400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213312140201400 is an abundant number, since it is smaller than the sum of its proper divisors (447983904976200).

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

213312140201400 is a wasteful number, since it uses less digits than its factorization.

213312140201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15274509 (or 15274500 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 213312140201400 its reverse (4102041213312), we get a palindrome (217414181414712).

The spelling of 213312140201400 in words is "two hundred thirteen trillion, three hundred twelve billion, one hundred forty million, two hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 23311 46622 69933 93244 116555 139866 186488 233110 279732 349665 466220 559464 582775 699330 932440 1165550 1398660 1748325 2331100 2797320 3496650 4662200 6993300 13986600 15251179 30502358 45753537 61004716 76255895 91507074 122009432 152511790 183014148 228767685 305023580 366028296 381279475 457535370 610047160 762558950 915070740 1143838425 1525117900 1830141480 2287676850 3050235800 4575353700 9150707400 355520233669 711040467338 1066560701007 1422080934676 1777601168345 2133121402014 2844161869352 3555202336690 4266242804028 5332803505035 7110404673380 8532485608056 8888005841725 10665607010070 14220809346760 17776011683450 21331214020140 26664017525175 35552023366900 42662428040280 53328035050350 71104046733800 106656070100700 213312140201400