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1330041002320 = 2451031491083307
BaseRepresentation
bin10011010110101100100…
…111110001100101010000
311201011001211210111012201
4103112230213301211100
5133242410444033240
62455002402332544
7165043440661462
oct23265447614520
94634054714181
101330041002320
11473081520938
1219593005a154
1398564b17364
1448535228132
15248e644cd9a
hex135ac9f1950

1330041002320 has 80 divisors (see below), whose sum is σ = 3143326492800. Its totient is φ = 523314796032.

The previous prime is 1330041002317. The next prime is 1330041002333. The reversal of 1330041002320 is 232001400331.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686107 + ... + 1769413.

It is an arithmetic number, because the mean of its divisors is an integer number (39291581160).

Almost surely, 21330041002320 is an apocalyptic number.

1330041002320 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 1330041002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571663246400).

1330041002320 is an abundant number, since it is smaller than the sum of its proper divisors (1813285490480).

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

1330041002320 is a wasteful number, since it uses less digits than its factorization.

1330041002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083572 (or 1083566 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1330041002320 its reverse (232001400331), we get a palindrome (1562042402651).

The spelling of 1330041002320 in words is "one trillion, three hundred thirty billion, forty-one million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 149 206 298 412 515 596 745 824 1030 1192 1490 1648 2060 2384 2980 4120 5960 8240 11920 15347 30694 61388 76735 122776 153470 245552 306940 613880 1083307 1227760 2166614 4333228 5416535 8666456 10833070 17332912 21666140 43332280 86664560 111580621 161412743 223161242 322825486 446322484 557903105 645650972 807063715 892644968 1115806210 1291301944 1614127430 1785289936 2231612420 2582603888 3228254860 4463224840 6456509720 8926449680 12913019440 16625512529 33251025058 66502050116 83127562645 133004100232 166255125290 266008200464 332510250580 665020501160 1330041002320