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332111042000 = 2453271612751
BaseRepresentation
bin1001101010100110101…
…11000101010111010000
31011202020101111222022222
410311103113011113100
520420130411321000
6412323020120212
732665010164523
oct4652327052720
91152211458288
10332111042000
11118936030441
1254447396068
132541967978a
1412107aacbba
15898b7d1a85
hex4d535c55d0

332111042000 has 80 divisors (see below), whose sum is σ = 806009078784. Its totient is φ = 132354000000.

The previous prime is 332111041987. The next prime is 332111042009. The reversal of 332111042000 is 240111233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3321110420002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332111042000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332111042009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235625 + ... + 848375.

Almost surely, 2332111042000 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 332111042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403004539392).

332111042000 is an abundant number, since it is smaller than the sum of its proper divisors (473898036784).

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

332111042000 is a wasteful number, since it uses less digits than its factorization.

332111042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613045 (or 613029 counting only the distinct ones).

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

Adding to 332111042000 its reverse (240111233), we get a palindrome (332351153233).

The spelling of 332111042000 in words is "three hundred thirty-two billion, one hundred eleven million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 271 400 500 542 1000 1084 1355 2000 2168 2710 4336 5420 6775 10840 13550 21680 27100 33875 54200 67750 108400 135500 271000 542000 612751 1225502 2451004 3063755 4902008 6127510 9804016 12255020 15318775 24510040 30637550 49020080 61275100 76593875 122550200 153187750 166055521 245100400 306375500 332111042 612751000 664222084 830277605 1225502000 1328444168 1660555210 2656888336 3321110420 4151388025 6642220840 8302776050 13284441680 16605552100 20756940125 33211104200 41513880250 66422208400 83027760500 166055521000 332111042000