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106013362 = 27213237173
BaseRepresentation
bin1100101000110…
…10001010110010
321101111000222211
412110122022302
5204114411422
614304122334
72425045600
oct624321262
9241430884
10106013362
1154929454
122b6063aa
1318c6a900
1410118870
159491577
hex651a2b2

106013362 has 72 divisors (see below), whose sum is σ = 206909316. Its totient is φ = 40569984.

The previous prime is 106013333. The next prime is 106013381. The reversal of 106013362 is 263310601.

It can be written as a sum of positive squares in 6 ways, for example, as 61136761 + 44876601 = 7819^2 + 6699^2 .

It is a super-2 number, since 2×1060133622 = 22477665845086088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 612708 + ... + 612880.

Almost surely, 2106013362 is an apocalyptic number.

106013362 is a deficient number, since it is larger than the sum of its proper divisors (100895954).

106013362 is a wasteful number, since it uses less digits than its factorization.

106013362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 106013362 is about 10296.2790366229. The cubic root of 106013362 is about 473.2822342290.

Adding to 106013362 its reverse (263310601), we get a palindrome (369323963).

The spelling of 106013362 in words is "one hundred six million, thirteen thousand, three hundred sixty-two".

Divisors: 1 2 7 13 14 26 37 49 74 91 98 169 173 182 259 338 346 481 518 637 962 1183 1211 1274 1813 2249 2366 2422 3367 3626 4498 6253 6401 6734 8281 8477 12506 12802 15743 16562 16954 23569 29237 31486 43771 44807 47138 58474 83213 87542 89614 110201 166426 204659 220402 306397 313649 409318 582491 612794 627298 1081769 1164982 1432613 2163538 2865226 4077437 7572383 8154874 15144766 53006681 106013362