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1020123200232 = 2332114799123419
BaseRepresentation
bin11101101100001000001…
…01001011101011101000
310121112010010202220200100
432312010011023223220
5113203203014401412
62100345500305400
7133462414063203
oct16660405135350
93545103686610
101020123200232
113636a4a52094
12145859242260
137527434ac06
1437534c3c93a
151b80821aedc
hexed8414bae8

1020123200232 has 48 divisors (see below), whose sum is σ = 2762880120000. Its totient is φ = 340035349536.

The previous prime is 1020123200221. The next prime is 1020123200249. The reversal of 1020123200232 is 2320023210201.

1020123200232 is a `hidden beast` number, since 1 + 0 + 201 + 232 + 0 + 0 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8203819 + ... + 8327237.

It is an arithmetic number, because the mean of its divisors is an integer number (57560002500).

Almost surely, 21020123200232 is an apocalyptic number.

1020123200232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020123200232 is an abundant number, since it is smaller than the sum of its proper divisors (1742756919768).

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

1020123200232 is a wasteful number, since it uses less digits than its factorization.

1020123200232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238230 (or 238223 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1020123200232 its reverse (2320023210201), we get a palindrome (3340146410433).

It can be divided in two parts, 10201 and 23200232, that multiplied together give a palindrome (236665566632).

The spelling of 1020123200232 in words is "one trillion, twenty billion, one hundred twenty-three million, two hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 114799 123419 229598 246838 344397 370257 459196 493676 688794 740514 918392 987352 1033191 1110771 1377588 1481028 2066382 2221542 2755176 2962056 4132764 4443084 8265528 8886168 14168377781 28336755562 42505133343 56673511124 85010266686 113347022248 127515400029 170020533372 255030800058 340041066744 510061600116 1020123200232