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31033300020 = 223519213110937
BaseRepresentation
bin11100111001101110…
…101001010000110100
32222002202121222112020
4130321232221100310
51002024011100040
622131223153140
72146014461232
oct347156512064
988082558466
1031033300020
1112185541698
126020ba57b0
132c07491328
141705783952
15c196d6cd0
hex739ba9434

31033300020 has 144 divisors (see below), whose sum is σ = 92415774528. Its totient is φ = 7779432960.

The previous prime is 31033300009. The next prime is 31033300021. The reversal of 31033300020 is 2000333013.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31033300021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2831992 + ... + 2842928.

It is an arithmetic number, because the mean of its divisors is an integer number (641776212).

Almost surely, 231033300020 is an apocalyptic number.

31033300020 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 31033300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46207887264).

31033300020 is an abundant number, since it is smaller than the sum of its proper divisors (61382474508).

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

31033300020 is a wasteful number, since it uses less digits than its factorization.

31033300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11118 (or 11097 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 31033300020 its reverse (2000333013), we get a palindrome (33033633033).

The spelling of 31033300020 in words is "thirty-one billion, thirty-three million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 131 190 228 262 285 361 380 393 524 570 655 722 786 1083 1140 1310 1444 1572 1805 1965 2166 2489 2620 3610 3930 4332 4978 5415 7220 7467 7860 9956 10830 10937 12445 14934 21660 21874 24890 29868 32811 37335 43748 47291 49780 54685 65622 74670 94582 109370 131244 141873 149340 164055 189164 207803 218740 236455 283746 328110 415606 472910 567492 623409 656220 709365 831212 945820 1039015 1246818 1418730 1432747 2078030 2493636 2837460 2865494 3117045 3948257 4156060 4298241 5730988 6234090 7163735 7896514 8596482 11844771 12468180 14327470 15793028 17192964 19741285 21491205 23689542 27222193 28654940 39482570 42982410 47379084 54444386 59223855 78965140 81666579 85964820 108888772 118447710 136110965 163333158 236895420 272221930 326666316 408332895 517221667 544443860 816665790 1034443334 1551665001 1633331580 2068886668 2586108335 3103330002 5172216670 6206660004 7758325005 10344433340 15516650010 31033300020