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23213333130400 = 255277356784083
BaseRepresentation
bin1010100011100110001100…
…11110011010110010100000
310001012011200002122200001201
411101303012132122302200
511020311401240133100
6121212020311010544
74614052014664210
oct521630636326240
9101164602580051
1023213333130400
11743a7a0422146
12272aa96369a54
13cc501453237a
145a3761d1a240
152a3c7335636a
hex151cc679aca0

23213333130400 has 144 divisors (see below), whose sum is σ = 65652395102784. Its totient is φ = 7849831495680.

The previous prime is 23213333130353. The next prime is 23213333130409. The reversal of 23213333130400 is 403133331232.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (23213333130409) 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, 27983242 + ... + 28800841.

It is an arithmetic number, because the mean of its divisors is an integer number (455919410436).

Almost surely, 223213333130400 is an apocalyptic number.

23213333130400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23213333130400 is an abundant number, since it is smaller than the sum of its proper divisors (42439061972384).

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

23213333130400 is a wasteful number, since it uses less digits than its factorization.

23213333130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56784183 (or 56784170 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 23213333130400 its reverse (403133331232), we get a palindrome (23616466461632).

The spelling of 23213333130400 in words is "twenty-three trillion, two hundred thirteen billion, three hundred thirty-three million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 73 80 100 112 140 146 160 175 200 224 280 292 350 365 400 511 560 584 700 730 800 1022 1120 1168 1400 1460 1825 2044 2336 2555 2800 2920 3650 4088 5110 5600 5840 7300 8176 10220 11680 12775 14600 16352 20440 25550 29200 40880 51100 58400 81760 102200 204400 408800 56784083 113568166 227136332 283920415 397488581 454272664 567840830 794977162 908545328 1135681660 1419602075 1589954324 1817090656 1987442905 2271363320 2839204150 3179908648 3974885810 4145238059 4542726640 5678408300 6359817296 7949771620 8290476118 9085453280 9937214525 11356816600 12719634592 15899543240 16580952236 19874429050 20726190295 22713633200 29016666413 31799086480 33161904472 39748858100 41452380590 45427266400 58033332826 63598172960 66323808944 79497716200 82904761180 103630951475 116066665652 132647617888 145083332065 158995432400 165809522360 207261902950 232133331304 290166664130 317990864800 331619044720 414523805900 464266662608 580333328260 663238089440 725416660325 829047611800 928533325216 1160666656520 1450833320650 1658095223600 2321333313040 2901666641300 3316190447200 4642666626080 5803333282600 11606666565200 23213333130400