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210000121102002 = 237117914011410659
BaseRepresentation
bin101111101111111001110110…
…100111101111111010110010
31000112112211000111201221010010
4233233321312213233322302
5210011120222000231002
62022344420202115350
762143002524223150
oct5757716647577262
91015484014657103
10210000121102002
1160a04607741070
121b67751b7abb56
139023c07538a9a
1439c00bac783d0
1519428b995446c
hexbefe769efeb2

210000121102002 has 128 divisors (see below), whose sum is σ = 530304115507200. Its totient is φ = 53851061908800.

The previous prime is 210000121101977. The next prime is 210000121102043. The reversal of 210000121102002 is 200201121000012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 511168149 + ... + 511578807.

It is an arithmetic number, because the mean of its divisors is an integer number (4143000902400).

Almost surely, 2210000121102002 is an apocalyptic number.

210000121102002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210000121102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265152057753600).

210000121102002 is an abundant number, since it is smaller than the sum of its proper divisors (320303994405198).

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

210000121102002 is a wasteful number, since it uses less digits than its factorization.

210000121102002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424772.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210000121102002 its reverse (200201121000012), we get a palindrome (410201242102014).

The spelling of 210000121102002 in words is "two hundred ten trillion, one hundred twenty-one million, one hundred two thousand, two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 79 154 158 231 237 462 474 553 869 1106 1659 1738 2607 3318 5214 6083 12166 14011 18249 28022 36498 42033 84066 98077 154121 196154 294231 308242 410659 462363 588462 821318 924726 1078847 1106869 1231977 2157694 2213738 2463954 2874613 3236541 3320607 4517249 5749226 6473082 6641214 7748083 8623839 9034498 12175559 13551747 15496166 17247678 23244249 24351118 27103494 31620743 32442061 36526677 46488498 63241486 64884122 73053354 85228913 94862229 97326183 170457826 189724458 194652366 227094427 255686739 356862671 454188854 511373478 681283281 713725342 1070588013 1362566562 2141176026 2498038697 4996077394 5753743249 7494116091 11507486498 14988232182 17261229747 34522459494 40276202743 63291175739 80552405486 120828608229 126582351478 189873527217 241657216458 379747054434 443038230173 454545716671 886076460346 909091433342 1329114690519 1363637150013 2658229381038 2727274300026 3181820016697 5000002883381 6363640033394 9545460050091 10000005766762 15000008650143 19090920100182 30000017300286 35000020183667 70000040367334 105000060551001 210000121102002