Search a number
-
+
21203133301233 = 3413411393533239
BaseRepresentation
bin1001101001000101111010…
…01110101000000111110001
32210001222222211000210220000
410310202331032220013301
510234343004111114413
6113032330204140213
74315606260240642
oct464427516500761
983058884023800
1021203133301233
11683521aa90784
122465386537669
13baa5a6a86230
1453434696b6c9
1526b81eb97073
hex1348bd3a81f1

21203133301233 has 80 divisors (see below), whose sum is σ = 35193614332800. Its totient is φ = 12638250996480.

The previous prime is 21203133301211. The next prime is 21203133301249. The reversal of 21203133301233 is 33210333130212.

21203133301233 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 313 + 330 + 12 + 3 + 3 = 666.

It is not a de Polignac number, because 21203133301233 - 29 = 21203133300721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21203133301197 and 21203133301206.

It is not an unprimeable number, because it can be changed into a prime (21203133301033) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4234428 + ... + 7767666.

It is an arithmetic number, because the mean of its divisors is an integer number (439920179160).

Almost surely, 221203133301233 is an apocalyptic number.

It is an amenable number.

21203133301233 is a deficient number, since it is larger than the sum of its proper divisors (13990481031567).

21203133301233 is a wasteful number, since it uses less digits than its factorization.

21203133301233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533444 (or 3533435 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 21203133301233 its reverse (33210333130212), we get a palindrome (54413466431445).

The spelling of 21203133301233 in words is "twenty-one trillion, two hundred three billion, one hundred thirty-three million, three hundred one thousand, two hundred thirty-three".

Divisors: 1 3 9 13 27 39 41 81 117 123 139 351 369 417 533 1053 1107 1251 1599 1807 3321 3753 4797 5421 5699 11259 14391 16263 17097 43173 48789 51291 74087 146367 153873 222261 461619 666783 2000349 3533239 6001047 10599717 31799151 45932107 95397453 137796321 144862799 286192359 413388963 434588397 491120221 1240166889 1303765191 1473360663 1883216387 3720500667 3911295573 4420081989 5649649161 6384562873 11733886719 13260245967 16948947483 19153688619 20135929061 39780737901 50846842449 57461065857 60407787183 152540527347 172383197571 181223361549 261767077793 517149592713 543670084647 785301233379 1631010253941 2355903700137 7067711100411 21203133301233