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106330757144 = 233110329314207
BaseRepresentation
bin110001100000111001…
…1101001100000011000
3101011110101002010102112
41203001303221200120
53220231133212034
6120503033051452
710452655344263
oct1430163514030
9334411063375
10106330757144
1141104a386a7
1218735b56b88
13a047284aa1
145209b6bcda
152b74e097ce
hex18c1ce9818

106330757144 has 64 divisors (see below), whose sum is σ = 208523427840. Its totient is φ = 50773380480.

The previous prime is 106330757111. The next prime is 106330757167. The reversal of 106330757144 is 441757033601.

It is a super-2 number, since 2×1063307571442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7477289 + ... + 7491495.

It is an arithmetic number, because the mean of its divisors is an integer number (3258178560).

Almost surely, 2106330757144 is an apocalyptic number.

It is an amenable number.

106330757144 is a deficient number, since it is larger than the sum of its proper divisors (102192670696).

106330757144 is a wasteful number, since it uses less digits than its factorization.

106330757144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14640 (or 14636 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 106330757144 in words is "one hundred six billion, three hundred thirty million, seven hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 31 62 103 124 206 248 293 412 586 824 1172 2344 3193 6386 9083 12772 14207 18166 25544 28414 30179 36332 56828 60358 72664 113656 120716 241432 440417 880834 935549 1463321 1761668 1871098 2926642 3523336 3742196 4162651 5853284 7484392 8325302 11706568 16650604 33301208 45362951 90725902 129042181 181451804 258084362 362903608 428753053 516168724 857506106 1032337448 1715012212 3430024424 13291344643 26582689286 53165378572 106330757144