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1022112013200 = 243521575425223
BaseRepresentation
bin11101101111110101001…
…11111001101110010000
310121201020202002002011220
432313322213321232100
5113221241133410300
62101315103405040
7133562613522555
oct16677247715620
93551222062156
101022112013200
11364525648773
121461132b3780
13755003a9315
1437683024a2c
151b8c2b1dda0
hexedfa9f9b90

1022112013200 has 120 divisors (see below), whose sum is σ = 3295020646848. Its totient is φ = 270827082240.

The previous prime is 1022112013199. The next prime is 1022112013211. The reversal of 1022112013200 is 23102112201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1022112013200.

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, 2524212 + ... + 2901011.

Almost surely, 21022112013200 is an apocalyptic number.

1022112013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022112013200 is an abundant number, since it is smaller than the sum of its proper divisors (2272908633648).

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

1022112013200 is a wasteful number, since it uses less digits than its factorization.

1022112013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425401 (or 5425390 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1022112013200 its reverse (23102112201), we get a palindrome (1045214125401).

Subtracting from 1022112013200 its reverse (23102112201), we obtain a palindrome (999009900999).

The spelling of 1022112013200 in words is "one trillion, twenty-two billion, one hundred twelve million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 157 200 240 300 314 400 471 600 628 785 942 1200 1256 1570 1884 2355 2512 3140 3768 3925 4710 6280 7536 7850 9420 11775 12560 15700 18840 23550 31400 37680 47100 62800 94200 188400 5425223 10850446 16275669 21700892 27126115 32551338 43401784 54252230 65102676 81378345 86803568 108504460 130205352 135630575 162756690 217008920 260410704 271261150 325513380 406891725 434017840 542522300 651026760 813783450 851760011 1085044600 1302053520 1627566900 1703520022 2170089200 2555280033 3255133800 3407040044 4258800055 5110560066 6510267600 6814080088 8517600110 10221120132 12776400165 13628160176 17035200220 20442240264 21294000275 25552800330 34070400440 40884480528 42588000550 51105600660 63882000825 68140800880 85176001100 102211201320 127764001650 170352002200 204422402640 255528003300 340704004400 511056006600 1022112013200