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20202213120 = 283537142189
BaseRepresentation
bin10010110100001001…
…010100111100000000
31221010221000202111120
4102310021110330000
5312333231304440
613140351312240
71313425656345
oct226411247400
957127022446
1020202213120
118627693801
123ab981b680
131b9c55837b
14d990c27cc
157d38b0dd0
hex4b4254f00

20202213120 has 144 divisors (see below), whose sum is σ = 66265090080. Its totient is φ = 5241618432.

The previous prime is 20202213113. The next prime is 20202213121. The reversal of 20202213120 is 2131220202.

It is a happy number.

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 20202213120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202213121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70986 + ... + 213174.

Almost surely, 220202213120 is an apocalyptic number.

20202213120 is a gapful number since it is divisible by the number (20) 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 20202213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33132545040).

20202213120 is an abundant number, since it is smaller than the sum of its proper divisors (46062876960).

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

20202213120 is a wasteful number, since it uses less digits than its factorization.

20202213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142250 (or 142236 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20202213120 its reverse (2131220202), we get a palindrome (22333433322).

The spelling of 20202213120 in words is "twenty billion, two hundred two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 320 370 384 444 480 555 592 640 740 768 888 960 1110 1184 1280 1480 1776 1920 2220 2368 2960 3552 3840 4440 4736 5920 7104 8880 9472 11840 14208 17760 23680 28416 35520 47360 71040 142080 142189 284378 426567 568756 710945 853134 1137512 1421890 1706268 2132835 2275024 2843780 3412536 4265670 4550048 5260993 5687560 6825072 8531340 9100096 10521986 11375120 13650144 15782979 17062680 18200192 21043972 22750240 26304965 27300288 31565958 34125360 36400384 42087944 45500480 52609930 54600576 63131916 68250720 78914895 84175888 91000960 105219860 109201152 126263832 136501440 157829790 168351776 182001920 210439720 252527664 273002880 315659580 336703552 420879440 505055328 546005760 631319160 673407104 841758880 1010110656 1262638320 1346814208 1683517760 2020221312 2525276640 3367035520 4040442624 5050553280 6734071040 10101106560 20202213120