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1032000340120 = 2351710391460681
BaseRepresentation
bin11110000010010000000…
…00111000000010011000
310122122202212201010122021
433001020000320002120
5113402014041340440
62110032220504224
7134362634104201
oct17011000700230
93578685633567
101032000340120
1136873a319082
121480129ab074
1376417bc6a39
1437d403d85a8
151bca0cbd84a
hexf048038098

1032000340120 has 64 divisors (see below), whose sum is σ = 2460957033600. Its totient is φ = 388143575040.

The previous prime is 1032000340109. The next prime is 1032000340121. The reversal of 1032000340120 is 210430002301.

It is a happy number.

It is a super-2 number, since 2×10320003401202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1032000340094 and 1032000340103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032000340121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23821 + ... + 1436860.

It is an arithmetic number, because the mean of its divisors is an integer number (38452453650).

Almost surely, 21032000340120 is an apocalyptic number.

1032000340120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032000340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230478516800).

1032000340120 is an abundant number, since it is smaller than the sum of its proper divisors (1428956693480).

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

1032000340120 is a wasteful number, since it uses less digits than its factorization.

1032000340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461748 (or 1461744 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1032000340120 its reverse (210430002301), we get a palindrome (1242430342421).

The spelling of 1032000340120 in words is "one trillion, thirty-two billion, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1039 2078 4156 5195 8312 10390 17663 20780 35326 41560 70652 88315 141304 176630 353260 706520 1460681 2921362 5842724 7303405 11685448 14606810 24831577 29213620 49663154 58427240 99326308 124157885 198652616 248315770 496631540 993263080 1517647559 3035295118 6070590236 7588237795 12141180472 15176475590 25800008503 30352951180 51600017006 60705902360 103200034012 129000042515 206400068024 258000085030 516000170060 1032000340120