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31300313220 = 22345111756471
BaseRepresentation
bin11101001001101001…
…001110000010000100
32222210101001122210000
4131021221032002010
51003100340010340
622213522201300
72155436162331
oct351151160204
988711048700
1031300313220
1112302235660
1260964b3230
132c4a8ac7c7
14172d00b988
15c32d7bd30
hex749a4e084

31300313220 has 120 divisors (see below), whose sum is σ = 107116688448. Its totient is φ = 7587950400.

The previous prime is 31300313183. The next prime is 31300313221. The reversal of 31300313220 is 2231300313.

31300313220 is a `hidden beast` number, since 3 + 130 + 0 + 313 + 220 = 666.

It is a super-4 number, since 4×313003132204 (a number of 43 digits) contains 4444 as substring.

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 = 31300313193 and 31300313202.

It is not an unprimeable number, because it can be changed into a prime (31300313221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 860416 + ... + 896055.

Almost surely, 231300313220 is an apocalyptic number.

31300313220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31300313220 is an abundant number, since it is smaller than the sum of its proper divisors (75816375228).

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

31300313220 is a wasteful number, since it uses less digits than its factorization.

31300313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756503 (or 1756492 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31300313220 its reverse (2231300313), we get a palindrome (33531613533).

The spelling of 31300313220 in words is "thirty-one billion, three hundred million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 1756471 3512942 5269413 7025884 8782355 10538826 15808239 17564710 19321181 21077652 26347065 31616478 35129420 38642362 47424717 52694130 57963543 63232956 77284724 79041195 94849434 96605905 105388260 115927086 142274151 158082390 173890629 189698868 193211810 231854172 237123585 284548302 289817715 316164780 347781258 386423620 474247170 521671887 569096604 579635430 695562516 711370755 869453145 948494340 1043343774 1159270860 1422741510 1565015661 1738906290 2086687548 2608359435 2845483020 3130031322 3477812580 5216718870 6260062644 7825078305 10433437740 15650156610 31300313220