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1330000213320 = 23345410493893
BaseRepresentation
bin10011010110101010001…
…100001011010101001000
311201010222000001012020000
4103112222030023111020
5133242320023311240
62454554344203000
7165042434166222
oct23265214132510
94633860035200
101330000213320
114730604a1519
1219591a469460
139855953565c
144852da4b412
15248e2a92430
hex135aa30b548

1330000213320 has 80 divisors (see below), whose sum is σ = 4470278505660. Its totient is φ = 354666722688.

The previous prime is 1330000213319. The next prime is 1330000213327. The reversal of 1330000213320 is 233120000331.

1330000213320 is a `hidden beast` number, since 1 + 330 + 0 + 0 + 0 + 2 + 1 + 332 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1292537062404 + 37463150916 = 1136898^2 + 193554^2 .

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 = 1330000213293 and 1330000213302.

It is not an unprimeable number, because it can be changed into a prime (1330000213327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 205243707 + ... + 205250186.

Almost surely, 21330000213320 is an apocalyptic number.

1330000213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330000213320 is an abundant number, since it is smaller than the sum of its proper divisors (3140278292340).

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

1330000213320 is a wasteful number, since it uses less digits than its factorization.

1330000213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410493916 (or 410493903 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1330000213320 its reverse (233120000331), we get a palindrome (1563120213651).

The spelling of 1330000213320 in words is "one trillion, three hundred thirty billion, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 410493893 820987786 1231481679 1641975572 2052469465 2462963358 3283951144 3694445037 4104938930 4925926716 6157408395 7388890074 8209877860 9851853432 11083335111 12314816790 14777780148 16419755720 18472225185 22166670222 24629633580 29555560296 33250005333 36944450370 44333340444 49259267160 55416675555 66500010666 73888900740 88666680888 110833351110 133000021332 147777801480 166250026665 221666702220 266000042664 332500053330 443333404440 665000106660 1330000213320