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31221323320 = 23511236834517
BaseRepresentation
bin11101000100111011…
…111001011000111000
32222120212102120000011
4131010323321120320
51002420124321240
622202021151304
72153456604145
oct350473713070
988525376004
1031221323320
1112271694350
126073b5b534
132c37414115
1417227293cc
15c2ae776ea
hex744ef9638

31221323320 has 128 divisors (see below), whose sum is σ = 80100887040. Its totient is φ = 10841290240.

The previous prime is 31221323299. The next prime is 31221323323. The reversal of 31221323320 is 2332312213.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 31221323291 and 31221323300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31221323323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6909702 + ... + 6914218.

It is an arithmetic number, because the mean of its divisors is an integer number (625788180).

Almost surely, 231221323320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31221323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40050443520).

31221323320 is an abundant number, since it is smaller than the sum of its proper divisors (48879563720).

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

31221323320 is a wasteful number, since it uses less digits than its factorization.

31221323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5245 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 31221323320 its reverse (2332312213), we get a palindrome (33553635533).

It can be divided in two parts, 312213 and 23320, that added together give a palindrome (335533).

The spelling of 31221323320 in words is "thirty-one billion, two hundred twenty-one million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 683 920 1012 1265 1366 2024 2530 2732 3415 4517 5060 5464 6830 7513 9034 10120 13660 15026 15709 18068 22585 27320 30052 31418 36136 37565 45170 49687 60104 62836 75130 78545 90340 99374 103891 125672 150260 157090 172799 180680 198748 207782 248435 300520 314180 345598 397496 415564 496870 519455 628360 691196 831128 863995 993740 1038910 1142801 1382392 1727990 1987480 2077820 2285602 3085111 3455980 4155640 4571204 5714005 6170222 6911960 9142408 11428010 12340444 15425555 22856020 24680888 30851110 33936221 45712040 61702220 67872442 70957553 123404440 135744884 141915106 169681105 271489768 283830212 339362210 354787765 567660424 678724420 709575530 780533083 1357448840 1419151060 1561066166 2838302120 3122132332 3902665415 6244264664 7805330830 15610661660 31221323320