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1031120221000 = 23532164947629
BaseRepresentation
bin11110000000100111000…
…11011111001101001000
310122120111112121110011211
433000103203133031020
5113343213234033000
62105405020502504
7134332056160222
oct17002343371510
93576445543154
101031120221000
11368328535601
12147a080aaa34
13763077714ac
1437c99575412
151bc4d8bc7ba
hexf0138df348

1031120221000 has 64 divisors (see below), whose sum is σ = 2412983430000. Its totient is φ = 412420377600.

The previous prime is 1031120220983. The next prime is 1031120221013. The reversal of 1031120221000 is 1220211301.

It can be written as a sum of positive squares in 8 ways, for example, as 1816634884 + 1029303586116 = 42622^2 + 1014546^2 .

It is an unprimeable number.

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, 21625186 + ... + 21672814.

Almost surely, 21031120221000 is an apocalyptic number.

1031120221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031120221000 is an abundant number, since it is smaller than the sum of its proper divisors (1381863209000).

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

1031120221000 is a wasteful number, since it uses less digits than its factorization.

1031120221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69299 (or 69285 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1031120221000 its reverse (1220211301), we get a palindrome (1032340432301).

The spelling of 1031120221000 in words is "one trillion, thirty-one billion, one hundred twenty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 21649 43298 47629 86596 95258 108245 173192 190516 216490 238145 381032 432980 476290 541225 865960 952580 1082450 1190725 1905160 2164900 2381450 2706125 4329800 4762900 5412250 5953625 9525800 10824500 11907250 21649000 23814500 47629000 1031120221 2062240442 4124480884 5155601105 8248961768 10311202210 20622404420 25778005525 41244808840 51556011050 103112022100 128890027625 206224044200 257780055250 515560110500 1031120221000