Search a number
-
+
2402040102231 = 371137978213529
BaseRepresentation
bin100010111101000100101…
…111110011110101010111
322111122002022020011002210
4202331010233303311113
5303323334231232411
65035252035404503
7335353535663010
oct42750457636527
98448068204083
102402040102231
11846777020190
12329646453733
1314568574aca3
148438b98a007
1542738a5aca6
hex22f44bf3d57

2402040102231 has 128 divisors (see below), whose sum is σ = 4149420226560. Its totient is φ = 1199768371200.

The previous prime is 2402040102229. The next prime is 2402040102271. The reversal of 2402040102231 is 1322010402042.

It is not a de Polignac number, because 2402040102231 - 21 = 2402040102229 is a prime.

It is a super-2 number, since 2×24020401022312 (a number of 26 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 = 2402040102198 and 2402040102207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402040102271) 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, 680655675 + ... + 680659203.

It is an arithmetic number, because the mean of its divisors is an integer number (32417345520).

Almost surely, 22402040102231 is an apocalyptic number.

2402040102231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2402040102231 is a deficient number, since it is larger than the sum of its proper divisors (1747380124329).

2402040102231 is a wasteful number, since it uses less digits than its factorization.

2402040102231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2402040102231 its reverse (1322010402042), we get a palindrome (3724050504273).

The spelling of 2402040102231 in words is "two trillion, four hundred two billion, forty million, one hundred two thousand, two hundred thirty-one".

Divisors: 1 3 7 11 21 33 37 77 97 111 231 259 291 407 679 777 821 1067 1221 2037 2463 2849 3201 3529 3589 5747 7469 8547 9031 10587 10767 17241 22407 24703 25123 27093 30377 38819 39479 63217 74109 75369 79637 91131 116457 118437 130573 189651 212639 238911 271733 276353 334147 342313 391719 557459 637917 815199 829059 876007 914011 1002441 1026939 1436303 1672377 2339029 2396191 2628021 2742033 2897309 2946569 3765443 4308909 6132049 7017087 7188573 8691927 8839707 10054121 11296329 12665581 18396147 20281163 20625983 26358101 30162363 31870399 32412259 37996743 60843489 61877949 79074303 88659067 95611197 97236777 107200433 139321391 223092793 226885813 265977201 281038973 321601299 417964173 669278379 680657439 750403031 843116919 975249737 1179204763 1967272811 2251209093 2925749211 3091428703 3537614289 5901818433 8254433341 9274286109 10398442001 21640000921 24763300023 31195326003 64920002763 72789094007 114382862011 218367282021 343148586033 800680034077 2402040102231