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13321001023020 = 2233531795758723
BaseRepresentation
bin1100000111011000100110…
…0010001011011000101100
31202011110211110120001201000
43001312021202023120230
53221222402230214040
644155330002320300
72543260552312305
oct301661142133054
952143743501630
1013321001023020
11427644a888469
1215b1848359090
1375821b699662
14340a503857ac
1518179a8e6130
hexc1d8988b62c

13321001023020 has 96 divisors (see below), whose sum is σ = 42779989002240. Its totient is φ = 3437677679040.

The previous prime is 13321001022883. The next prime is 13321001023021. The reversal of 13321001023020 is 2032010012331.

13321001023020 is a `hidden beast` number, since 1 + 332 + 100 + 1 + 0 + 230 + 2 + 0 = 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 = 13321001022984 and 13321001023002.

It is not an unprimeable number, because it can be changed into a prime (13321001023021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397862622 + ... + 397896101.

It is an arithmetic number, because the mean of its divisors is an integer number (445624885440).

Almost surely, 213321001023020 is an apocalyptic number.

13321001023020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321001023020 is an abundant number, since it is smaller than the sum of its proper divisors (29458987979220).

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

13321001023020 is a wasteful number, since it uses less digits than its factorization.

13321001023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795758772 (or 795758764 counting only the distinct ones).

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

Adding to 13321001023020 its reverse (2032010012331), we get a palindrome (15353011035351).

The spelling of 13321001023020 in words is "thirteen trillion, three hundred twenty-one billion, one million, twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 16740 795758723 1591517446 2387276169 3183034892 3978793615 4774552338 7161828507 7957587230 9549104676 11936380845 14323657014 15915174460 21485485521 23872761690 24668520413 28647314028 35809142535 42970971042 47745523380 49337040826 71618285070 74005561239 85941942084 98674081652 107427427605 123342602065 143236570140 148011122478 214854855210 222016683717 246685204130 296022244956 370027806195 429709710420 444033367434 493370408260 666050051151 740055612390 888066734868 1110083418585 1332100102302 1480111224780 2220166837170 2664200204604 3330250255755 4440333674340 6660500511510 13321001023020