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146102105820 = 223511220124257
BaseRepresentation
bin1000100000010001011…
…1010011011011011100
3111222010002212222021110
42020010113103123130
54343204114341240
6151041323102020
713361355260166
oct2100427233334
9458102788243
10146102105820
1156a63914600
1224395371910
1310a14b5abb8
1470ddc19936
153c017c7c80
hex22045d36dc

146102105820 has 72 divisors (see below), whose sum is σ = 449656420752. Its totient is φ = 35418690560.

The previous prime is 146102105819. The next prime is 146102105837. The reversal of 146102105820 is 28501201641.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10054869 + ... + 10069388.

It is an arithmetic number, because the mean of its divisors is an integer number (6245228066).

Almost surely, 2146102105820 is an apocalyptic number.

146102105820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146102105820 is an abundant number, since it is smaller than the sum of its proper divisors (303554314932).

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

146102105820 is a wasteful number, since it uses less digits than its factorization.

146102105820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20124291 (or 20124278 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 146102105820 in words is "one hundred forty-six billion, one hundred two million, one hundred five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 20124257 40248514 60372771 80497028 100621285 120745542 201242570 221366827 241491084 301863855 402485140 442733654 603727710 664100481 885467308 1106834135 1207455420 1328200962 2213668270 2435035097 2656401924 3320502405 4427336540 4870070194 6641004810 7305105291 9740140388 12175175485 13282009620 14610210582 24350350970 29220421164 36525526455 48700701940 73051052910 146102105820