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1000010001030 = 2353141131200201
BaseRepresentation
bin11101000110101010011…
…11011010101010000110
310112121012102020112022120
432203111033122222012
5112341010030013110
62043222004510410
7132151115521365
oct16432517325206
93477172215276
101000010001030
11356113636907
121419853ab406
13733ba38aa01
14365878cb7dc
151b02c58e870
hexe8d53daa86

1000010001030 has 128 divisors (see below), whose sum is σ = 2557255421952. Its totient is φ = 249849600000.

The previous prime is 1000010000993. The next prime is 1000010001043. The reversal of 1000010001030 is 301000100001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4894930 + ... + 5095130.

It is an arithmetic number, because the mean of its divisors is an integer number (19978557984).

Almost surely, 21000010001030 is an apocalyptic number.

1000010001030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000010001030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278627710976).

1000010001030 is an abundant number, since it is smaller than the sum of its proper divisors (1557245420922).

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

1000010001030 is a wasteful number, since it uses less digits than its factorization.

1000010001030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200414.

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 1000010001030 its reverse (301000100001), we get a palindrome (1301010101031).

The spelling of 1000010001030 in words is "one trillion, ten million, one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 41 62 82 93 123 131 155 186 205 246 262 310 393 410 465 615 655 786 930 1230 1271 1310 1965 2542 3813 3930 4061 5371 6355 7626 8122 10742 12183 12710 16113 19065 20305 24366 26855 32226 38130 40610 53710 60915 80565 121830 161130 166501 200201 333002 400402 499503 600603 832505 999006 1001005 1201206 1665010 2002010 2497515 3003015 4995030 6006030 6206231 8208241 12412462 16416482 18618693 24624723 26226331 31031155 37237386 41041205 49249446 52452662 62062310 78678993 82082410 93093465 123123615 131131655 157357986 186186930 246247230 254455471 262263310 393394965 508910942 763366413 786789930 813016261 1075279571 1272277355 1526732826 1626032522 2150559142 2439048783 2544554710 3225838713 3816832065 4065081305 4878097566 5376397855 6451677426 7633664130 8130162610 10752795710 12195243915 16129193565 24390487830 32258387130 33333666701 66667333402 100001000103 166668333505 200002000206 333336667010 500005000515 1000010001030