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22142131211400 = 2335236903552019
BaseRepresentation
bin1010000100011010111011…
…10111011000110010001000
32220101202201012020222210120
411002031131313120302020
510400234041042231100
6115031542112143240
74443500436625404
oct502153567306210
986352635228716
1022142131211400
1170674749086a2
122597362b37b20
13c47cbcb05415
145679833cc104
15285e7ac150a0
hex14235ddd8c88

22142131211400 has 48 divisors (see below), whose sum is σ = 68640606757200. Its totient is φ = 5904568322880.

The previous prime is 22142131211381. The next prime is 22142131211449. The reversal of 22142131211400 is 411213124122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18451775410 + ... + 18451776609.

It is an arithmetic number, because the mean of its divisors is an integer number (1430012640775).

Almost surely, 222142131211400 is an apocalyptic number.

22142131211400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142131211400 is an abundant number, since it is smaller than the sum of its proper divisors (46498475545800).

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

22142131211400 is a wasteful number, since it uses less digits than its factorization.

22142131211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36903552038 (or 36903552029 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 22142131211400 its reverse (411213124122), we get a palindrome (22553344335522).

The spelling of 22142131211400 in words is "twenty-two trillion, one hundred forty-two billion, one hundred thirty-one million, two hundred eleven 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 36903552019 73807104038 110710656057 147614208076 184517760095 221421312114 295228416152 369035520190 442842624228 553553280285 738071040380 885685248456 922588800475 1107106560570 1476142080760 1845177600950 2214213121140 2767766401425 3690355201900 4428426242280 5535532802850 7380710403800 11071065605700 22142131211400