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145361821 = 1131213751
BaseRepresentation
bin10001010101000…
…00101110011101
3101010112010221011
420222200232131
5244203034241
622231335221
73413361253
oct1052405635
9333463834
10145361821
1175064540
1240821511
1324166a17
141543c5d3
15cb65281
hex8aa0b9d

145361821 has 12 divisors (see below), whose sum is σ = 163868832. Its totient is φ = 127875000.

The previous prime is 145361807. The next prime is 145361857. The reversal of 145361821 is 128163541.

It is not a de Polignac number, because 145361821 - 219 = 144837533 is a prime.

It is a super-2 number, since 2×1453618212 = 42260118008872082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145361621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3696 + ... + 17446.

It is an arithmetic number, because the mean of its divisors is an integer number (13655736).

Almost surely, 2145361821 is an apocalyptic number.

145361821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145361821 is a deficient number, since it is larger than the sum of its proper divisors (18507011).

145361821 is a wasteful number, since it uses less digits than its factorization.

145361821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13824 (or 13793 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 145361821 is about 12056.6090174642. The cubic root of 145361821 is about 525.7954032319.

The spelling of 145361821 in words is "one hundred forty-five million, three hundred sixty-one thousand, eight hundred twenty-one".

Divisors: 1 11 31 341 961 10571 13751 151261 426281 4689091 13214711 145361821