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1031202120032 = 257231391439969
BaseRepresentation
bin11110000000110000110…
…11111010000101100000
310122120201020201100112022
433000120123322011200
5113343400220320112
62105421104121012
7134334102253010
oct17003033720540
93576636640468
101031202120032
1136836a793557
12147a2b606168
137631b718066
1437ca63b3c40
151bc55b98d72
hexf0186fa160

1031202120032 has 96 divisors (see below), whose sum is σ = 2438502796800. Its totient is φ = 419687313408.

The previous prime is 1031202120031. The next prime is 1031202120041. The reversal of 1031202120032 is 2300212021301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031202120031) 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 15 ways as a sum of consecutive naturals, for example, 3857 + ... + 1436112.

It is an arithmetic number, because the mean of its divisors is an integer number (25401070800).

Almost surely, 21031202120032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031202120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219251398400).

1031202120032 is an abundant number, since it is smaller than the sum of its proper divisors (1407300676768).

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

1031202120032 is a wasteful number, since it uses less digits than its factorization.

1031202120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440148 (or 1440140 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1031202120032 its reverse (2300212021301), we get a palindrome (3331414141333).

The spelling of 1031202120032 in words is "one trillion, thirty-one billion, two hundred two million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 139 161 184 224 278 322 368 556 644 736 973 1112 1288 1946 2224 2576 3197 3892 4448 5152 6394 7784 12788 15568 22379 25576 31136 44758 51152 89516 102304 179032 358064 716128 1439969 2879938 5759876 10079783 11519752 20159566 23039504 33119287 40319132 46079008 66238574 80638264 132477148 161276528 200155691 231835009 264954296 322553056 400311382 463670018 529908592 800622764 927340036 1059817184 1401089837 1601245528 1854680072 2802179674 3202491056 3709360144 4603580893 5604359348 6404982112 7418720288 9207161786 11208718696 18414323572 22417437392 32225066251 36828647144 44834874784 64450132502 73657294288 128900265004 147314588576 257800530008 515601060016 1031202120032