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106297476374313 = 3372211491775531
BaseRepresentation
bin11000001010110101001111…
…010100011101111100101001
3111221100221100220010122022000
4120022311033110131330221
5102413034212422434223
61014024215252521213
731250511362130600
oct3012651724357451
9457327326118260
10106297476374313
1130962563275564
12bb091b5920209
134740a695226b3
141c36b7a902a37
15c450945c0543
hex60ad4f51df29

106297476374313 has 96 divisors (see below), whose sum is σ = 184431684579840. Its totient is φ = 60330339972000.

The previous prime is 106297476374279. The next prime is 106297476374329. The reversal of 106297476374313 is 313473674792601.

It is a happy number.

106297476374313 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 97 + 476 + 3 + 74 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 106297476374313 - 29 = 106297476373801 is a prime.

It is a super-2 number, since 2×1062974763743132 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (106297476372313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136676358 + ... + 137451888.

It is an arithmetic number, because the mean of its divisors is an integer number (1921163381040).

Almost surely, 2106297476374313 is an apocalyptic number.

It is an amenable number.

106297476374313 is a deficient number, since it is larger than the sum of its proper divisors (78134208205527).

106297476374313 is a wasteful number, since it uses less digits than its factorization.

106297476374313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776256 (or 776243 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 63.

The spelling of 106297476374313 in words is "one hundred six trillion, two hundred ninety-seven billion, four hundred seventy-six million, three hundred seventy-four thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 27 49 63 147 189 211 441 491 633 1323 1473 1477 1899 3437 4419 4431 5697 10311 10339 13257 13293 24059 30933 31017 39879 72177 92799 93051 103601 216531 279153 310803 649593 725207 775531 932409 2175621 2326593 2797227 5076449 5428717 6526863 6979779 15229347 16286151 19580589 20939337 38001019 45688041 48858453 114003057 137064123 146575359 163637041 342009171 380785721 490911123 1026027513 1142357163 1145459287 1472733369 2665500047 3427071489 3436377861 4418200107 7996500141 8018215009 10281214467 10309133583 18658500329 23989500423 24054645027 30927400749 55975500987 71968501269 72163935081 80345787131 167926502961 216491805243 241037361393 503779508883 562420509917 723112084179 1687261529751 2169336252537 3936943569419 5061784589253 11810830708257 15185353767759 35432492124771 106297476374313