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1330020332220 = 2235163293464143
BaseRepresentation
bin10011010110101011011…
…000111011001010111100
311201011000101220100011110
4103112223120323022330
5133242340201112340
62455000343322020
7165043100202006
oct23265330731274
94634011810143
101330020332220
11473070893108
12195925150310
139856075ac28
14485325a7376
15248e4718680
hex135ab63b2bc

1330020332220 has 96 divisors (see below), whose sum is σ = 3759700073472. Its totient is φ = 351292370688.

The previous prime is 1330020332191. The next prime is 1330020332231. The reversal of 1330020332220 is 222330200331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2633469 + ... + 3097611.

It is an arithmetic number, because the mean of its divisors is an integer number (39163542432).

Almost surely, 21330020332220 is an apocalyptic number.

1330020332220 is a gapful number since it is divisible by the number (10) 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 1330020332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879850036736).

1330020332220 is an abundant number, since it is smaller than the sum of its proper divisors (2429679741252).

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

1330020332220 is a wasteful number, since it uses less digits than its factorization.

1330020332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464611 (or 464609 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 1330020332220 its reverse (222330200331), we get a palindrome (1552350532551).

The spelling of 1330020332220 in words is "one trillion, three hundred thirty billion, twenty million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 293 326 489 586 652 815 879 978 1172 1465 1630 1758 1956 2445 2930 3260 3516 4395 4890 5860 8790 9780 17580 47759 95518 143277 191036 238795 286554 464143 477590 573108 716385 928286 955180 1392429 1432770 1856572 2320715 2784858 2865540 4641430 5569716 6962145 9282860 13924290 27848580 75655309 135993899 151310618 226965927 271987798 302621236 378276545 407981697 453931854 543975596 679969495 756553090 815963394 907863708 1134829635 1359938990 1513106180 1631926788 2039908485 2269659270 2719877980 4079816970 4539318540 8159633940 22167005537 44334011074 66501016611 88668022148 110835027685 133002033222 221670055370 266004066444 332505083055 443340110740 665010166110 1330020332220