Search a number
-
+
1213333131000 = 23353419864497
BaseRepresentation
bin10001101010000000010…
…010100100111011111000
311021222211021100100021010
4101222000102210323320
5124334401240143000
62325221511513520
7153442345306044
oct21520022447370
94258737310233
101213333131000
11428631a14821
1217719a9888a0
138a5559b7633
1442a2320d024
15218654e2d50
hex11a804a4ef8

1213333131000 has 128 divisors (see below), whose sum is σ = 3877931453760. Its totient is φ = 315663872000.

The previous prime is 1213333130909. The next prime is 1213333131001. The reversal of 1213333131000 is 1313333121.

It is a super-2 number, since 2×12133331310002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213333131001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4809249 + ... + 5055248.

Almost surely, 21213333131000 is an apocalyptic number.

1213333131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213333131000 is an abundant number, since it is smaller than the sum of its proper divisors (2664598322760).

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

1213333131000 is a wasteful number, since it uses less digits than its factorization.

1213333131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9864562 (or 9864548 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1213333131000 its reverse (1313333121), we get a palindrome (1214646464121).

The spelling of 1213333131000 in words is "one trillion, two hundred thirteen billion, three hundred thirty-three million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 125 150 164 200 205 246 250 300 328 375 410 492 500 600 615 750 820 984 1000 1025 1230 1500 1640 2050 2460 3000 3075 4100 4920 5125 6150 8200 10250 12300 15375 20500 24600 30750 41000 61500 123000 9864497 19728994 29593491 39457988 49322485 59186982 78915976 98644970 118373964 147967455 197289940 236747928 246612425 295934910 394579880 404444377 493224850 591869820 739837275 808888754 986449700 1183739640 1213333131 1233062125 1479674550 1617777508 1972899400 2022221885 2426666262 2466124250 2959349100 3235555016 3699186375 4044443770 4853332524 4932248500 5918698200 6066665655 7398372750 8088887540 9706665048 9864497000 10111109425 12133331310 14796745500 16177775080 20222218850 24266662620 29593491000 30333328275 40444437700 48533325240 50555547125 60666656550 80888875400 101111094250 121333313100 151666641375 202222188500 242666626200 303333282750 404444377000 606666565500 1213333131000