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200311331002120 = 235132318738942039
BaseRepresentation
bin101101100010111010011101…
…101110101001011100001000
3222021020120120001211122002201
4231202322131232221130020
5202223400101214031440
61550005431033205544
760123005342213602
oct5542723556513410
9867216501748081
10200311331002120
1158909616277208
121a5718175608b4
1387a037b779070
14376719799a172
1518258563c219a
hexb62e9dba9708

200311331002120 has 128 divisors (see below), whose sum is σ = 506743260710400. Its totient is φ = 70707627454464.

The previous prime is 200311331002093. The next prime is 200311331002163. The reversal of 200311331002120 is 21200133113002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17930061 + ... + 26872099.

It is an arithmetic number, because the mean of its divisors is an integer number (3958931724300).

Almost surely, 2200311331002120 is an apocalyptic number.

200311331002120 is a gapful number since it is divisible by the number (20) 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 200311331002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253371630355200).

200311331002120 is an abundant number, since it is smaller than the sum of its proper divisors (306431929708280).

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

200311331002120 is a wasteful number, since it uses less digits than its factorization.

200311331002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8943959 (or 8943955 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 200311331002120 its reverse (21200133113002), we get a palindrome (221511464115122).

The spelling of 200311331002120 in words is "two hundred trillion, three hundred eleven billion, three hundred thirty-one million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 1873 2392 2990 3746 5980 7492 9365 11960 14984 18730 24349 37460 43079 48698 74920 86158 97396 121745 172316 194792 215395 243490 344632 430790 486980 560027 861580 973960 1120054 1723160 2240108 2800135 4480216 5600270 8942039 11200540 17884078 22401080 35768156 44710195 71536312 89420390 116246507 178840780 205666897 232493014 357681560 411333794 464986028 581232535 822667588 929972056 1028334485 1162465070 1645335176 2056668970 2324930140 2673669661 4113337940 4649860280 5347339322 8226675880 10694678644 13368348305 16748439047 21389357288 26736696610 33496878094 53473393220 66993756188 83742195235 106946786440 133987512376 167484390470 217729707611 334968780940 385214098081 435459415222 669937561880 770428196162 870918830444 1088648538055 1540856392324 1741837660888 1926070490405 2177297076110 3081712784648 3852140980810 4354594152220 5007783275053 7704281961620 8709188304440 10015566550106 15408563923240 20031133100212 25038916375265 40062266200424 50077832750530 100155665501060 200311331002120