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31020322120 = 23529434871277
BaseRepresentation
bin11100111000111101…
…001000110101001000
32222001212012122012021
4130320331020311020
51002012200301440
622130041054224
72145466246624
oct347075106510
988055178167
1031020322120
1112179188157
126018787374
132c048991b8
141703b66184
15c184c184a
hex738f48d48

31020322120 has 128 divisors (see below), whose sum is σ = 74091283200. Its totient is φ = 11668478976.

The previous prime is 31020322103. The next prime is 31020322121. The reversal of 31020322120 is 2122302013.

It is a super-2 number, since 2×310203221202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31020322094 and 31020322103.

It is not an unprimeable number, because it can be changed into a prime (31020322121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24290922 + ... + 24292198.

It is an arithmetic number, because the mean of its divisors is an integer number (578838150).

Almost surely, 231020322120 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 31020322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37045641600).

31020322120 is an abundant number, since it is smaller than the sum of its proper divisors (43070961080).

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

31020322120 is a wasteful number, since it uses less digits than its factorization.

31020322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31020322120 its reverse (2122302013), we get a palindrome (33142624133).

The spelling of 31020322120 in words is "thirty-one billion, twenty million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 43 58 86 116 145 172 215 232 290 344 430 487 580 860 974 1160 1247 1277 1720 1948 2435 2494 2554 3896 4870 4988 5108 6235 6385 9740 9976 10216 12470 12770 14123 19480 20941 24940 25540 28246 37033 41882 49880 51080 54911 56492 70615 74066 83764 104705 109822 112984 141230 148132 167528 185165 209410 219644 274555 282460 296264 370330 418820 439288 549110 564920 607289 621899 740660 837640 1098220 1214578 1243798 1481320 1592419 2196440 2429156 2487596 3036445 3109495 3184838 4858312 4975192 6072890 6218990 6369676 7962095 12145780 12437980 12739352 15924190 18035071 24291560 24875960 26741657 31848380 36070142 53483314 63696760 72140284 90175355 106966628 133708285 144280568 180350710 213933256 267416570 360701420 534833140 721402840 775508053 1069666280 1551016106 3102032212 3877540265 6204064424 7755080530 15510161060 31020322120