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1002000120330 = 2351121731595567
BaseRepresentation
bin11101001010010111101…
…11000111101000001010
310112210100010000001202210
432211023313013220022
5112404044012322310
62044151300005550
7132251332331436
oct16451367075012
93483303001683
101002000120330
11356a44a44a00
1214223b9908b6
13736467858b1
14366d5d339c6
151b0e714e820
hexe94bdc7a0a

1002000120330 has 96 divisors (see below), whose sum is σ = 2658573695232. Its totient is φ = 241504869760.

The previous prime is 1002000120271. The next prime is 1002000120347. The reversal of 1002000120330 is 330210002001.

It is a happy number.

It is a super-2 number, since 2×10020001203302 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169794 + ... + 1425773.

It is an arithmetic number, because the mean of its divisors is an integer number (27693475992).

Almost surely, 21002000120330 is an apocalyptic number.

1002000120330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002000120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329286847616).

1002000120330 is an abundant number, since it is smaller than the sum of its proper divisors (1656573574902).

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

1002000120330 is a wasteful number, since it uses less digits than its factorization.

1002000120330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595772 (or 1595761 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1002000120330 its reverse (330210002001), we get a palindrome (1332210122331).

The spelling of 1002000120330 in words is "one trillion, two billion, one hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 173 242 330 346 363 519 605 726 865 1038 1210 1730 1815 1903 2595 3630 3806 5190 5709 9515 11418 19030 20933 28545 41866 57090 62799 104665 125598 209330 313995 627990 1595567 3191134 4786701 7977835 9573402 15955670 17551237 23933505 35102474 47867010 52653711 87756185 105307422 175512370 193063607 263268555 276033091 386127214 526537110 552066182 579190821 828099273 965318035 1158381642 1380165455 1656198546 1930636070 2760330910 2895954105 3036364001 4140496365 5791908210 6072728002 8280992730 9109092003 15181820005 18218184006 30363640010 33400004011 45545460015 66800008022 91090920030 100200012033 167000020055 200400024066 334000040110 501000060165 1002000120330