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106002021500 = 2253375729839
BaseRepresentation
bin110001010111000110…
…1100111110001111100
3101010121110111121220022
41202232031213301330
53214043004142000
6120410251111312
710441554213314
oct1425615476174
9333543447808
10106002021500
1140a56417751
1218663a42538
139cc413565b
1451b8238444
152b56121585
hex18ae367c7c

106002021500 has 48 divisors (see below), whose sum is σ = 237765440640. Its totient is φ = 41254833600.

The previous prime is 106002021467. The next prime is 106002021523. The reversal of 106002021500 is 5120200601.

It is a super-2 number, since 2×1060020215002 (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, 2846420 + ... + 2883419.

It is an arithmetic number, because the mean of its divisors is an integer number (4953446680).

Almost surely, 2106002021500 is an apocalyptic number.

106002021500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106002021500 is an abundant number, since it is smaller than the sum of its proper divisors (131763419140).

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

106002021500 is a wasteful number, since it uses less digits than its factorization.

106002021500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729895 (or 5729883 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The spelling of 106002021500 in words is "one hundred six billion, two million, twenty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 370 500 740 925 1850 3700 4625 9250 18500 5729839 11459678 22919356 28649195 57298390 114596780 143245975 212004043 286491950 424008086 572983900 716229875 848016172 1060020215 1432459750 2120040430 2864919500 4240080860 5300101075 10600202150 21200404300 26500505375 53001010750 106002021500