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1023223013332 = 2213376018771009
BaseRepresentation
bin11101110001111001101…
…10000001111111010100
310121211010011121201211221
432320330312001333110
5113231030042411312
62102021232140124
7133632264052162
oct16707466017724
93554104551757
101023223013332
11364a457965a3
12146383397644
137564960bb50
143774a7c8232
151b93a429207
hexee3cd81fd4

1023223013332 has 96 divisors (see below), whose sum is σ = 1988025969440. Its totient is φ = 457751347200.

The previous prime is 1023223013261. The next prime is 1023223013347. The reversal of 1023223013332 is 2333103223201.

It can be written as a sum of positive squares in 16 ways, for example, as 7130789136 + 1016092224196 = 84444^2 + 1008014^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1023223013297 and 1023223013306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1014095644 + ... + 1014096652.

Almost surely, 21023223013332 is an apocalyptic number.

It is an amenable number.

1023223013332 is a deficient number, since it is larger than the sum of its proper divisors (964802956108).

1023223013332 is a wasteful number, since it uses less digits than its factorization.

1023223013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 1023223013332 its reverse (2333103223201), we get a palindrome (3356326236533).

The spelling of 1023223013332 in words is "one trillion, twenty-three billion, two hundred twenty-three million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 13 26 37 52 74 148 481 601 877 962 1009 1202 1754 1924 2018 2404 3508 4036 7813 11401 13117 15626 22237 22802 26234 31252 32449 37333 44474 45604 52468 64898 74666 88948 129796 149332 289081 421837 485329 527077 578162 606409 843674 884893 970658 1054154 1156324 1212818 1687348 1769786 1941316 2108308 2425636 3539572 6852001 7883317 11503609 13704002 15766634 19501849 22437133 23007218 27408004 31533268 32741041 39003698 44874266 46014436 65482082 78007396 89748532 130964164 253524037 291682729 425633533 507048074 531820693 583365458 851267066 1014096148 1063641386 1166730916 1702534132 2127282772 6913669009 13827338018 19677365641 27654676036 39354731282 78709462564 255805753333 511611506666 1023223013332