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21341141031 = 3719236167569
BaseRepresentation
bin10011111000000001…
…111111100000100111
32001002022010021212210
4103320001333200213
5322201313003111
613445354414503
71353565464030
oct237001774047
961068107783
1021341141031
119061577141
124177131433
1320214b8902
141066475a87
1584d8860a6
hex4f807f827

21341141031 has 128 divisors (see below), whose sum is σ = 36911923200. Its totient is φ = 10688578560.

The previous prime is 21341141009. The next prime is 21341141039. The reversal of 21341141031 is 13014114312.

It is not a de Polignac number, because 21341141031 - 211 = 21341138983 is a prime.

It is a super-2 number, since 2×213411410312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 21341140989 and 21341141007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21341141039) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37506115 + ... + 37506683.

It is an arithmetic number, because the mean of its divisors is an integer number (288374400).

Almost surely, 221341141031 is an apocalyptic number.

21341141031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21341141031 is a deficient number, since it is larger than the sum of its proper divisors (15570782169).

21341141031 is a wasteful number, since it uses less digits than its factorization.

21341141031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21341141031 its reverse (13014114312), we get a palindrome (34355255343).

The spelling of 21341141031 in words is "twenty-one billion, three hundred forty-one million, one hundred forty-one thousand, thirty-one".

Divisors: 1 3 7 19 21 23 57 61 67 69 133 161 183 201 399 427 437 469 483 569 1159 1273 1281 1311 1403 1407 1541 1707 3059 3477 3819 3983 4087 4209 4623 8113 8911 9177 9821 10787 10811 11949 12261 13087 24339 26657 26733 28609 29279 29463 32361 32433 34709 38123 39261 75677 77653 79971 85827 87837 91609 94001 104127 114369 186599 204953 227031 232959 242963 248653 266861 274827 282003 543571 559797 614859 658007 659471 724337 728889 745959 798307 800583 876829 1630713 1740571 1786019 1974021 1978413 2173011 2325503 2394921 2630487 4616297 5070359 5221713 5358057 5588149 6137803 6976509 12502133 13848891 15167833 15211077 16278521 16659751 16764447 18413409 37506399 44184557 45503499 48835563 49979253 53486569 106174831 116618257 132553671 160459707 309291899 318524493 349854771 374405983 927875697 1016244811 1123217949 3048734433 7113713677 21341141031