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1331304402320 = 24567881281927
BaseRepresentation
bin10011010111110111111…
…011010000110110010000
311201021022220002212012022
4103113313323100312100
5133303002411333240
62455332013351012
7165116651464424
oct23276773206620
94637286085168
101331304402320
1147366a69aa72
12196023198468
13987067a9219
1448614d3cb84
152496c30d9b5
hex135f7ed0d90

1331304402320 has 80 divisors (see below), whose sum is σ = 3145057953408. Its totient is φ = 523976386560.

The previous prime is 1331304402301. The next prime is 1331304402349. The reversal of 1331304402320 is 232044031331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13313044023202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1331304402320.

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 15 ways as a sum of consecutive naturals, for example, 4581197 + ... + 4863123.

Almost surely, 21331304402320 is an apocalyptic number.

1331304402320 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 1331304402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572528976704).

1331304402320 is an abundant number, since it is smaller than the sum of its proper divisors (1813753551088).

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

1331304402320 is a wasteful number, since it uses less digits than its factorization.

1331304402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282888 (or 282882 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 1331304402320 its reverse (232044031331), we get a palindrome (1563348433651).

The spelling of 1331304402320 in words is "one trillion, three hundred thirty-one billion, three hundred four million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 881 1072 1340 1762 2680 3524 4405 5360 7048 8810 14096 17620 35240 59027 70480 118054 236108 281927 295135 472216 563854 590270 944432 1127708 1180540 1409635 2255416 2361080 2819270 4510832 4722160 5638540 11277080 18889109 22554160 37778218 75556436 94445545 151112872 188891090 248377687 302225744 377782180 496755374 755564360 993510748 1241888435 1511128720 1987021496 2483776870 3974042992 4967553740 9935107480 16641305029 19870214960 33282610058 66565220116 83206525145 133130440232 166413050290 266260880464 332826100580 665652201160 1331304402320