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1332103223120 = 245232579280717
BaseRepresentation
bin10011011000100111100…
…010100001011101010000
311201100101120020011022212
4103120213202201131100
5133311121411114440
62455543151051252
7165145521400145
oct23304742413520
94640346204285
101332103223120
11473a3a5a594a
12196206810b28
1398803138457
144868d07c3cc
15249b7501465
hex136278a1750

1332103223120 has 80 divisors (see below), whose sum is σ = 3233062892160. Its totient is φ = 509474836992.

The previous prime is 1332103223093. The next prime is 1332103223147. The reversal of 1332103223120 is 213223012331.

It is an interprime number because it is at equal distance from previous prime (1332103223093) and next prime (1332103223147).

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

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 4605002 + ... + 4885718.

It is an arithmetic number, because the mean of its divisors is an integer number (40413286152).

Almost surely, 21332103223120 is an apocalyptic number.

1332103223120 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 1332103223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616531446080).

1332103223120 is an abundant number, since it is smaller than the sum of its proper divisors (1900959669040).

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

1332103223120 is a wasteful number, since it uses less digits than its factorization.

1332103223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283332 (or 283326 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1332103223120 its reverse (213223012331), we get a palindrome (1545326235451).

The spelling of 1332103223120 in words is "one trillion, three hundred thirty-two billion, one hundred three million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 2579 5158 10316 12895 20632 25790 41264 51580 59317 103160 118634 206320 237268 280717 296585 474536 561434 593170 949072 1122868 1186340 1403585 2245736 2372680 2807170 4491472 4745360 5614340 6456491 11228680 12912982 22457360 25825964 32282455 51651928 64564910 103303856 129129820 258259640 516519280 723969143 1447938286 2895876572 3619845715 5791753144 7239691430 11583506288 14479382860 16651290289 28958765720 33302580578 57917531440 66605161156 83256451445 133210322312 166512902890 266420644624 333025805780 666051611560 1332103223120