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1012203153 = 3213292691109
BaseRepresentation
bin111100010101001…
…111111010010001
32121112122020200200
4330111033322101
54033111000103
6244235005413
734040404413
oct7425177221
92545566620
101012203153
1147a3a9235
12242b99869
131319207a0
14986069b3
155dce20a3
hex3c54fe91

1012203153 has 48 divisors (see below), whose sum is σ = 1636362000. Its totient is φ = 598639104.

The previous prime is 1012203107. The next prime is 1012203229. The reversal of 1012203153 is 3513022101.

It can be written as a sum of positive squares in 8 ways, for example, as 495641169 + 516561984 = 22263^2 + 22728^2 .

It is not a de Polignac number, because 1012203153 - 26 = 1012203089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012203053) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 912163 + ... + 913271.

It is an arithmetic number, because the mean of its divisors is an integer number (34090875).

Almost surely, 21012203153 is an apocalyptic number.

1012203153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1012203153 is a deficient number, since it is larger than the sum of its proper divisors (624158847).

1012203153 is a wasteful number, since it uses less digits than its factorization.

1012203153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1012203153 is about 31815.1403108646. The cubic root of 1012203153 is about 1004.0512826114.

Adding to 1012203153 its reverse (3513022101), we get a palindrome (4525225254).

The spelling of 1012203153 in words is "one billion, twelve million, two hundred three thousand, one hundred fifty-three".

Divisors: 1 3 9 13 29 39 87 117 261 269 377 807 1109 1131 2421 3327 3393 3497 7801 9981 10491 14417 23403 31473 32161 43251 70209 96483 101413 129753 289449 298321 304239 418093 894963 912717 1254279 2684889 3762837 3878173 8651309 11634519 25953927 34903557 77861781 112467017 337401051 1012203153