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106200133414 = 21929892414493
BaseRepresentation
bin110001011101000000…
…1010110111100100110
3101011010021021202100121
41202322001112330212
53214444213232124
6120442045232154
710446511145134
oct1427201267446
9334107252317
10106200133414
1141048230101
12186ba26265a
13a0261ab43b
1451d6688754
152b687062e4
hex18ba056f26

106200133414 has 64 divisors (see below), whose sum is σ = 176182776000. Its totient is φ = 47815004160.

The previous prime is 106200133409. The next prime is 106200133423. The reversal of 106200133414 is 414331002601.

It is a super-3 number, since 3×1062001334143 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23634552 + ... + 23639044.

It is an arithmetic number, because the mean of its divisors is an integer number (2752855875).

Almost surely, 2106200133414 is an apocalyptic number.

106200133414 is a deficient number, since it is larger than the sum of its proper divisors (69982642586).

106200133414 is a wasteful number, since it uses less digits than its factorization.

106200133414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4873.

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 106200133414 in words is "one hundred six billion, two hundred million, one hundred thirty-three thousand, four hundred fourteen".

Divisors: 1 2 19 29 38 58 89 178 241 482 551 1102 1691 2581 3382 4493 4579 5162 6989 8986 9158 13978 21449 42898 49039 85367 98078 130297 132791 170734 260594 265582 399877 407531 622021 799754 815062 1082813 1244042 2165626 2475643 4951286 7597663 11596433 11818399 15195326 20573447 23192866 23636798 31401577 41146894 62803154 96370357 192740714 220332227 440664454 596629963 1193259926 1831036783 2794740353 3662073566 5589480706 53100066707 106200133414