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31302212220 = 22325613737643
BaseRepresentation
bin11101001001110000…
…011101101001111100
32222210111122010201100
4131021300131221330
51003101331242340
622214031013100
72155461261636
oct351160355174
988714563640
1031302212220
1112303312384
12609706a190
132c4b0c5c86
14172d383a56
15c33104830
hex749c1da7c

31302212220 has 144 divisors (see below), whose sum is σ = 96777993312. Its totient is φ = 8187333120.

The previous prime is 31302212209. The next prime is 31302212261. The reversal of 31302212220 is 2221220313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31302212193 and 31302212202.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4091719 + ... + 4099361.

It is an arithmetic number, because the mean of its divisors is an integer number (672069398).

Almost surely, 231302212220 is an apocalyptic number.

31302212220 is a gapful number since it is divisible by the number (30) 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 31302212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48388996656).

31302212220 is an abundant number, since it is smaller than the sum of its proper divisors (65475781092).

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

31302212220 is a wasteful number, since it uses less digits than its factorization.

31302212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092 (or 8087 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31302212220 its reverse (2221220313), we get a palindrome (33523432533).

The spelling of 31302212220 in words is "thirty-one billion, three hundred two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 373 549 610 732 746 915 1098 1119 1220 1492 1830 1865 2196 2238 2745 3357 3660 3730 4476 5490 5595 6714 7460 7643 10980 11190 13428 15286 16785 22380 22753 22929 30572 33570 38215 45506 45858 67140 68259 68787 76430 91012 91716 113765 114645 136518 137574 152860 204777 227530 229290 273036 275148 341295 343935 409554 455060 458580 466223 682590 687870 819108 932446 1023885 1365180 1375740 1398669 1864892 2047770 2331115 2797338 2850839 4095540 4196007 4662230 5594676 5701678 6993345 8392014 8552517 9324460 11403356 13986690 14254195 16784028 17105034 20980035 25657551 27973380 28508390 34210068 41960070 42762585 51315102 57016780 83920140 85525170 102630204 128287755 171050340 173901179 256575510 347802358 513151020 521703537 695604716 869505895 1043407074 1565110611 1739011790 2086814148 2608517685 3130221222 3478023580 5217035370 6260442444 7825553055 10434070740 15651106110 31302212220