Search a number
-
+
1002210200238 = 2313293119971821
BaseRepresentation
bin11101001010110000110…
…00100000101010101110
310112210212202022020020010
432211120120200222232
5112410011302401423
62044224202434050
7132256463100342
oct16453030405256
93483782266203
101002210200238
11357042592065
1214229a202926
137367b15bc30
1436715bbb622
151b10a7ea693
hexe958620aae

1002210200238 has 128 divisors (see below), whose sum is σ = 2316690432000. Its totient is φ = 286682457600.

The previous prime is 1002210200197. The next prime is 1002210200239. The reversal of 1002210200238 is 8320020122001.

It is a happy number.

It is a super-2 number, since 2×10022102002382 (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 (1002210200239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13918368 + ... + 13990188.

It is an arithmetic number, because the mean of its divisors is an integer number (18099144000).

Almost surely, 21002210200238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002210200238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158345216000).

1002210200238 is an abundant number, since it is smaller than the sum of its proper divisors (1314480231762).

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

1002210200238 is a wasteful number, since it uses less digits than its factorization.

1002210200238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72098.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1002210200238 its reverse (8320020122001), we get a palindrome (9322230322239).

The spelling of 1002210200238 in words is "one trillion, two billion, two hundred ten million, two hundred thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 13 26 29 31 39 58 62 78 87 93 174 186 199 377 398 403 597 754 806 899 1131 1194 1209 1798 2262 2418 2587 2697 5174 5394 5771 6169 7761 11542 11687 12338 15522 17313 18507 23374 34626 35061 37014 70122 71821 75023 80197 143642 150046 160394 178901 215463 225069 240591 357802 430926 450138 481182 536703 933673 1073406 1867346 2082809 2226451 2325713 2801019 4165618 4452902 4651426 5602038 6248427 6679353 6977139 12496854 13358706 13954278 14292379 27076517 28584758 28943863 42877137 54153034 57887726 64567079 81229551 85754274 86831589 129134158 162459102 173663178 185800927 193701237 371601854 387402474 414478991 443063749 557402781 828957982 839372027 886127498 1114805562 1243436973 1329191247 1678744054 2486873946 2518116081 2658382494 5036232162 5388226883 5759828737 10776453766 11519657474 12848848721 16164680649 17279486211 25697697442 32329361298 34558972422 38546546163 77093092326 167035033373 334070066746 501105100119 1002210200238