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1010021111000 = 235311254336107
BaseRepresentation
bin11101011001010011111…
…00110001010011011000
310120120001002220121110022
432230221330301103120
5113022010401023000
62051555225410012
7132654156535046
oct16545174612330
93516032817408
101010021111000
1135a390649a10
121438ba039908
1374324468015
1436c57303396
151b4163e4585
hexeb29f314d8

1010021111000 has 128 divisors (see below), whose sum is σ = 2579393756160. Its totient is φ = 367125808000.

The previous prime is 1010021110997. The next prime is 1010021111041. The reversal of 1010021111000 is 1111200101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27954947 + ... + 27991053.

It is an arithmetic number, because the mean of its divisors is an integer number (20151513720).

Almost surely, 21010021111000 is an apocalyptic number.

1010021111000 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 1010021111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289696878080).

1010021111000 is an abundant number, since it is smaller than the sum of its proper divisors (1569372645160).

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

1010021111000 is a wasteful number, since it uses less digits than its factorization.

1010021111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38682 (or 38668 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1010021111000 its reverse (1111200101), we get a palindrome (1011132311101).

The spelling of 1010021111000 in words is "one trillion, ten billion, twenty-one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2543 2750 5086 5500 10172 11000 12715 20344 25430 27973 36107 50860 55946 63575 72214 101720 111892 127150 139865 144428 180535 223784 254300 279730 288856 317875 361070 397177 508600 559460 635750 699325 722140 794354 902675 1118920 1271500 1398650 1444280 1588708 1805350 1985885 2543000 2797300 3177416 3496625 3610700 3971770 4513375 5594600 6993250 7221400 7943540 9026750 9929425 13986500 15887080 18053500 19858850 27973000 36107000 39717700 49647125 79435400 91820101 99294250 183640202 198588500 367280404 397177000 459100505 734560808 918201010 1010021111 1836402020 2020042222 2295502525 3672804040 4040084444 4591005050 5050105555 8080168888 9182010100 10100211110 11477512625 18364020200 20200422220 22955025250 25250527775 40400844440 45910050500 50501055550 91820101000 101002111100 126252638875 202004222200 252505277750 505010555500 1010021111000