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331013023220 = 225112295388993
BaseRepresentation
bin1001101000100011110…
…10011110010111110100
31011122101212101211201202
410310101322132113310
520410403313220340
6412022033512032
732625545162555
oct4642172362764
91148355354652
10331013023220
11118422249700
125419b712618
13252a3040819
1412041d2832c
1589251dcc15
hex4d11e9e5f4

331013023220 has 144 divisors (see below), whose sum is σ = 805335184080. Its totient is φ = 114023669760.

The previous prime is 331013023217. The next prime is 331013023241. The reversal of 331013023220 is 22320310133.

It can be written as a sum of positive squares in 8 ways, for example, as 39851338384 + 291161684836 = 199628^2 + 539594^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 331013023192 and 331013023201.

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, 3675044 + ... + 3764036.

It is an arithmetic number, because the mean of its divisors is an integer number (5592605445).

Almost surely, 2331013023220 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 331013023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402667592040).

331013023220 is an abundant number, since it is smaller than the sum of its proper divisors (474322160860).

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

331013023220 is a wasteful number, since it uses less digits than its factorization.

331013023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89106 (or 89093 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 331013023220 its reverse (22320310133), we get a palindrome (353333333353).

The spelling of 331013023220 in words is "three hundred thirty-one billion, thirteen million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 53 55 58 106 110 116 121 145 212 220 242 265 290 319 484 530 580 583 605 638 1060 1166 1210 1276 1537 1595 2332 2420 2915 3074 3190 3509 5830 6148 6380 6413 7018 7685 11660 12826 14036 15370 16907 17545 25652 30740 32065 33814 35090 64130 67628 70180 84535 88993 128260 169070 177986 185977 338140 355972 371954 444965 743908 889930 929885 978923 1779860 1859770 1957846 2580797 3719540 3915692 4716629 4894615 5161594 9433258 9789230 10323188 10768153 12903985 18866516 19578460 21536306 23583145 25807970 28388767 43072612 47166290 51615940 51882919 53840765 56777534 94332580 103765838 107681530 113555068 136782241 141943835 207531676 215363060 259414595 273564482 283887670 312276437 518829190 547128964 567775340 570712109 624552874 683911205 1037658380 1141424218 1249105748 1367822410 1504604651 1561382185 2282848436 2735644820 2853560545 3009209302 3122764370 5707121090 6018418604 6245528740 7523023255 11414242180 15046046510 16550651161 30092093020 33101302322 66202604644 82753255805 165506511610 331013023220