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31021340220 = 223251318173243
BaseRepresentation
bin11100111001000001…
…000001011000111100
32222001221010100202200
4130321001001120330
51002012430341340
622130114551500
72145511020063
oct347101013074
988057110680
1031021340220
1112179813062
126018b98590
132c04b64720
141703d4d1da
15c18623330
hex73904163c

31021340220 has 144 divisors (see below), whose sum is σ = 101897638752. Its totient is φ = 7593730560.

The previous prime is 31021340219. The next prime is 31021340243. The reversal of 31021340220 is 2204312013.

31021340220 is a `hidden beast` number, since 3 + 102 + 1 + 340 + 220 = 666.

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 = 31021340193 and 31021340202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386919 + ... + 460161.

Almost surely, 231021340220 is an apocalyptic number.

31021340220 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 31021340220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50948819376).

31021340220 is an abundant number, since it is smaller than the sum of its proper divisors (70876298532).

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

31021340220 is a wasteful number, since it uses less digits than its factorization.

31021340220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73452 (or 73447 counting only the distinct ones).

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

Adding to 31021340220 its reverse (2204312013), we get a palindrome (33225652233).

The spelling of 31021340220 in words is "thirty-one billion, twenty-one million, three hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 181 195 234 260 362 390 468 543 585 724 780 905 1086 1170 1629 1810 2172 2340 2353 2715 3258 3620 4706 5430 6516 7059 8145 9412 10860 11765 14118 16290 21177 23530 28236 32580 35295 42354 47060 70590 73243 84708 105885 141180 146486 211770 219729 292972 366215 423540 439458 659187 732430 878916 952159 1098645 1318374 1464860 1904318 2197290 2636748 2856477 3295935 3808636 4394580 4760795 5712954 6591870 8569431 9521590 11425908 13183740 13256983 14282385 17138862 19043180 26513966 28564770 34277724 39770949 42847155 53027932 57129540 66284915 79541898 85694310 119312847 132569830 159083796 171388620 172340779 198854745 238625694 265139660 344681558 397709490 477251388 517022337 596564235 689363116 795418980 861703895 1034044674 1193128470 1551067011 1723407790 2068089348 2386256940 2585111685 3102134022 3446815580 5170223370 6204268044 7755335055 10340446740 15510670110 31021340220