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1000022030220 = 2235101385342829
BaseRepresentation
bin11101000110101011111…
…01010011011110001100
310112121020020212200021010
432203111331103132030
5112341021114431340
62043223114405220
7132151323002043
oct16432575233614
93477206780233
101000022030220
1135611a402594
12141989430810
13733bca10085
143658933d55a
151b02d668b80
hexe8d5f5378c

1000022030220 has 96 divisors (see below), whose sum is σ = 2828585027520. Its totient is φ = 263957529600.

The previous prime is 1000022030197. The next prime is 1000022030263. The reversal of 1000022030220 is 220302200001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000022030196 and 1000022030205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23327766 + ... + 23370594.

It is an arithmetic number, because the mean of its divisors is an integer number (29464427370).

Almost surely, 21000022030220 is an apocalyptic number.

1000022030220 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 1000022030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414292513760).

1000022030220 is an abundant number, since it is smaller than the sum of its proper divisors (1828562997300).

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

1000022030220 is a wasteful number, since it uses less digits than its factorization.

1000022030220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46795 (or 46793 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 1000022030220 its reverse (220302200001), we get a palindrome (1220324230221).

The spelling of 1000022030220 in words is "one trillion, twenty-two million, thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 3853 6060 7706 11559 15412 19265 23118 38530 42829 46236 57795 77060 85658 115590 128487 171316 214145 231180 256974 389153 428290 513948 642435 778306 856580 1167459 1284870 1556612 1945765 2334918 2569740 3891530 4325729 4669836 5837295 7783060 8651458 11674590 12977187 17302916 21628645 23349180 25954374 43257290 51908748 64885935 86514580 129771870 165020137 259543740 330040274 495060411 660080548 825100685 990120822 1650201370 1980241644 2475302055 3300402740 4950604110 9901208220 16667033837 33334067674 50001101511 66668135348 83335169185 100002203022 166670338370 200004406044 250005507555 333340676740 500011015110 1000022030220