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31120002023220 = 223251118738391443
BaseRepresentation
bin1110001001101101100001…
…01010100111111100110100
311002012001011110002120210200
413010312300222213330310
513034332231004220340
6150104155341320500
76361226442455235
oct704666052477464
9132161143076720
1031120002023220
119a08a11933150
1235a7321866130
1314497b0150006
1479830510508c
1538e781795330
hex1c4db0aa7f34

31120002023220 has 144 divisors (see below), whose sum is σ = 103033908798912. Its totient is φ = 7540214123520.

The previous prime is 31120002023191. The next prime is 31120002023273. The reversal of 31120002023220 is 2232020002113.

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 = 31120002023193 and 31120002023202.

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, 487182 + ... + 7904261.

It is an arithmetic number, because the mean of its divisors is an integer number (715513255548).

Almost surely, 231120002023220 is an apocalyptic number.

31120002023220 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 31120002023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51516954399456).

31120002023220 is an abundant number, since it is smaller than the sum of its proper divisors (71913906775692).

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

31120002023220 is a wasteful number, since it uses less digits than its factorization.

31120002023220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8393342 (or 8393337 counting only the distinct ones).

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

Adding to 31120002023220 its reverse (2232020002113), we get a palindrome (33352022025333).

The spelling of 31120002023220 in words is "thirty-one trillion, one hundred twenty billion, two million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1873 1980 3746 5619 7492 9365 11238 16857 18730 20603 22476 28095 33714 37460 41206 56190 61809 67428 82412 84285 103015 112380 123618 168570 185427 206030 247236 309045 337140 370854 412060 618090 741708 927135 1236180 1854270 3708540 8391443 16782886 25174329 33565772 41957215 50348658 75522987 83914430 92305873 100697316 125871645 151045974 167828860 184611746 251743290 276917619 302091948 369223492 377614935 461529365 503486580 553835238 755229870 830752857 923058730 1107670476 1384588095 1510459740 1661505714 1846117460 2769176190 3323011428 4153764285 5538352380 8307528570 15717172739 16615057140 31434345478 47151518217 62868690956 78585863695 94303036434 141454554651 157171727390 172888900129 188606072868 235757591085 282909109302 314343454780 345777800258 471515182170 518666700387 565818218604 691555600516 707272773255 864444500645 943030364340 1037333400774 1414545546510 1556000101161 1728889001290 2074666801548 2593333501935 2829091093020 3112000202322 3457778002580 5186667003870 6224000404644 7780000505805 10373334007740 15560001011610 31120002023220