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106601452500 = 22354127911113
BaseRepresentation
bin110001101000111110…
…0010001001111010100
3101012011020102212122110
41203101330101033110
53221304432440000
6120545543031020
710462453252464
oct1432174211724
9335136385573
10106601452500
1141233817074
12187b073b470
13a08b39225a
145233ab3ba4
152b8da7a850
hex18d1f113d4

106601452500 has 120 divisors (see below), whose sum is σ = 311092418560. Its totient is φ = 28402272000.

The previous prime is 106601452453. The next prime is 106601452501. The reversal of 106601452500 is 5254106601.

It is a super-2 number, since 2×1066014525002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106601452501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9586944 + ... + 9598056.

Almost surely, 2106601452500 is an apocalyptic number.

106601452500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106601452500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155546209280).

106601452500 is an abundant number, since it is smaller than the sum of its proper divisors (204490966060).

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

106601452500 is a wasteful number, since it uses less digits than its factorization.

106601452500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12419 (or 12402 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 106601452500 in words is "one hundred six billion, six hundred one million, four hundred fifty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 1250 1279 1500 1875 2500 2558 3750 3837 5116 6395 7500 7674 11113 12790 15348 19185 22226 25580 31975 33339 38370 44452 55565 63950 66678 76740 95925 111130 127900 133356 159875 166695 191850 222260 277825 319750 333390 383700 479625 555650 639500 666780 799375 833475 959250 1111300 1389125 1598750 1666950 1918500 2398125 2778250 3197500 3333900 4167375 4796250 5556500 6945625 8334750 9592500 13891250 14213527 16669500 20836875 27782500 28427054 41673750 42640581 56854108 71067635 83347500 85281162 142135270 170562324 213202905 284270540 355338175 426405810 710676350 852811620 1066014525 1421352700 1776690875 2132029050 3553381750 4264058100 5330072625 7106763500 8883454375 10660145250 17766908750 21320290500 26650363125 35533817500 53300726250 106601452500