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331010020 = 2251121923313
BaseRepresentation
bin10011101110101…
…100111111100100
3212001212001101101
4103232230333210
51134214310040
652502405444
711126352535
oct2356547744
9761761341
10331010020
1115a934800
1292a30884
1353767723
1431d6668c
151e0d709a
hex13bacfe4

331010020 has 144 divisors (see below), whose sum is σ = 841921920. Its totient is φ = 108725760.

The previous prime is 331010003. The next prime is 331010021. The reversal of 331010020 is 20010133.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 331009979 and 331010006.

It is not an unprimeable number, because it can be changed into a prime (331010021) 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, 1057384 + ... + 1057696.

It is an arithmetic number, because the mean of its divisors is an integer number (5846680).

Almost surely, 2331010020 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 331010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420960960).

331010020 is an abundant number, since it is smaller than the sum of its proper divisors (510911900).

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

331010020 is a wasteful number, since it uses less digits than its factorization.

331010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 331010020 is about 18193.6807710809. The cubic root of 331010020 is about 691.7466216823.

Adding to 331010020 its reverse (20010133), we get a palindrome (351020153).

The spelling of 331010020 in words is "three hundred thirty-one million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 23 38 44 46 55 76 92 95 110 115 121 190 209 220 230 242 253 313 380 418 437 460 484 506 605 626 836 874 1012 1045 1210 1252 1265 1565 1748 2090 2185 2299 2420 2530 2783 3130 3443 4180 4370 4598 4807 5060 5566 5947 6260 6886 7199 8740 9196 9614 11132 11495 11894 13772 13915 14398 17215 19228 22990 23788 24035 27830 28796 29735 34430 35995 37873 45980 48070 52877 55660 59470 65417 68860 71990 75746 79189 96140 105754 118940 130834 136781 143980 151492 158378 189365 211508 261668 264385 273562 316756 327085 378730 395945 528770 547124 654170 683905 719587 757460 791890 871079 1057540 1308340 1367810 1439174 1504591 1583780 1742158 2735620 2878348 3009182 3484316 3597935 4355395 6018364 7195870 7522955 8710790 14391740 15045910 16550501 17421580 30091820 33101002 66202004 82752505 165505010 331010020