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1020310210032 = 243337431146347
BaseRepresentation
bin11101101100011110011…
…10100100010111110000
310121112121011122222220020
432312033032210113300
5113204043403210112
62100420220443440
7133500144455241
oct16661716442760
93545534588806
101020310210032
11363790572343
121458ab9a9580
13752a40075b9
14375519dccc8
151b81985b48c
hexed8f3a45f0

1020310210032 has 80 divisors (see below), whose sum is σ = 2649774546432. Its totient is φ = 338305121280.

The previous prime is 1020310210009. The next prime is 1020310210043. The reversal of 1020310210032 is 2300120130201.

It is a junction number, because it is equal to n+sod(n) for n = 1020310209993 and 1020310210020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6898683 + ... + 7045029.

Almost surely, 21020310210032 is an apocalyptic number.

1020310210032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020310210032 is an abundant number, since it is smaller than the sum of its proper divisors (1629464336400).

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

1020310210032 is a wasteful number, since it uses less digits than its factorization.

1020310210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147126 (or 147120 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1020310210032 its reverse (2300120130201), we get a palindrome (3320430340233).

The spelling of 1020310210032 in words is "one trillion, twenty billion, three hundred ten million, two hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 337 431 674 862 1011 1293 1348 1724 2022 2586 2696 3448 4044 5172 5392 6896 8088 10344 16176 20688 145247 146347 290494 292694 435741 439041 580988 585388 871482 878082 1161976 1170776 1742964 1756164 2323952 2341552 3485928 3512328 6971856 7024656 49318939 63075557 98637878 126151114 147956817 189226671 197275756 252302228 295913634 378453342 394551512 504604456 591827268 756906684 789103024 1009208912 1183654536 1513813368 2367309072 3027626736 21256462709 42512925418 63769388127 85025850836 127538776254 170051701672 255077552508 340103403344 510155105016 1020310210032