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331213102020 = 2232537241120627
BaseRepresentation
bin1001101000111011101…
…01101101101111000100
31011122220210212220020200
410310131311231233010
520411311023231040
6412053542130500
732633524625643
oct4643565555704
91148823786220
10331213102020
11118515185889
1254236720a30
1325305624948
141206072b35a
158937a60630
hex4d1dd6dbc4

331213102020 has 144 divisors (see below), whose sum is σ = 1032311262528. Its totient is φ = 85896564480.

The previous prime is 331213102001. The next prime is 331213102027. The reversal of 331213102020 is 20201312133.

331213102020 is a `hidden beast` number, since 3 + 312 + 1 + 310 + 20 + 20 = 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 = 331213101984 and 331213102002.

It is not an unprimeable number, because it can be changed into a prime (331213102027) 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, 16046947 + ... + 16067573.

It is an arithmetic number, because the mean of its divisors is an integer number (7168828212).

Almost surely, 2331213102020 is an apocalyptic number.

331213102020 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 331213102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516155631264).

331213102020 is an abundant number, since it is smaller than the sum of its proper divisors (701098160508).

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

331213102020 is a wasteful number, since it uses less digits than its factorization.

331213102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23090 (or 23085 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331213102020 its reverse (20201312133), we get a palindrome (351414414153).

The spelling of 331213102020 in words is "three hundred thirty-one billion, two hundred thirteen million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 2411 3330 4822 6660 7233 9644 12055 14466 20627 21699 24110 28932 36165 41254 43398 48220 61881 72330 82508 86796 89207 103135 108495 123762 144660 178414 185643 206270 216990 247524 267621 309405 356828 371286 412540 433980 446035 535242 618810 742572 763199 802863 892070 928215 1070484 1237620 1338105 1526398 1605726 1784140 1856430 2289597 2676210 3052796 3211452 3712860 3815995 4014315 4579194 5352420 6868791 7631990 8028630 9158388 11447985 13737582 15263980 16057260 22895970 27475164 34343955 45791940 49731697 68687910 99463394 137375820 149195091 198926788 248658485 298390182 447585273 497316970 596780364 745975455 895170546 994633940 1491950910 1790341092 1840072789 2237926365 2983901820 3680145578 4475852730 5520218367 7360291156 8951705460 9200363945 11040436734 16560655101 18400727890 22080873468 27601091835 33121310202 36801455780 55202183670 66242620404 82803275505 110404367340 165606551010 331213102020