Search a number
-
+
114211033400 = 23522773735527
BaseRepresentation
bin110101001011110000…
…0100001000100111000
3101220210120012122020002
41222113200201010320
53332401011032100
6124245014452132
711152153523522
oct1522740410470
9356716178202
10114211033400
1144489172902
121a175064048
13aa01a69949
14575658ca12
152e86b562d5
hex1a97821138

114211033400 has 96 divisors (see below), whose sum is σ = 267262105440. Its totient is φ = 45389237760.

The previous prime is 114211033379. The next prime is 114211033421. The reversal of 114211033400 is 4330112411.

It is an interprime number because it is at equal distance from previous prime (114211033379) and next prime (114211033421).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20661437 + ... + 20666963.

It is an arithmetic number, because the mean of its divisors is an integer number (2783980265).

Almost surely, 2114211033400 is an apocalyptic number.

114211033400 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 114211033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133631052720).

114211033400 is an abundant number, since it is smaller than the sum of its proper divisors (153051072040).

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

114211033400 is a wasteful number, since it uses less digits than its factorization.

114211033400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6184 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 114211033400 its reverse (4330112411), we get a palindrome (118541145811).

The spelling of 114211033400 in words is "one hundred fourteen billion, two hundred eleven million, thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 277 373 554 746 1108 1385 1492 1865 2216 2770 2984 3730 5527 5540 6925 7460 9325 11054 11080 13850 14920 18650 22108 27635 27700 37300 44216 55270 55400 74600 103321 110540 138175 206642 221080 276350 413284 516605 552700 826568 1033210 1105400 1530979 2061571 2066420 2583025 3061958 4123142 4132840 5166050 6123916 7654895 8246284 10307855 10332100 12247832 15309790 16492568 20615710 20664200 30619580 38274475 41231420 51539275 61239160 76548950 82462840 103078550 153097900 206157100 306195800 412314200 571055167 1142110334 2284220668 2855275835 4568441336 5710551670 11421103340 14276379175 22842206680 28552758350 57105516700 114211033400