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10020001221030 = 2354359241754469
BaseRepresentation
bin1001000111001111011010…
…0111010000100110100110
31022110220101010001120000110
42101303312213100212212
52303131430303033110
633151043000353450
72052630654045123
oct221636647204646
938426333046013
1010020001221030
113213505517459
121159b3a175886
13578b60b6cb58
14268d8365174a
1512599ad50a20
hex91cf69d09a6

10020001221030 has 128 divisors (see below), whose sum is σ = 25035144076800. Its totient is φ = 2564517279744.

The previous prime is 10020001221019. The next prime is 10020001221053. The reversal of 10020001221030 is 3012210002001.

10020001221030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10020001220997 and 10020001221015.

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, 183930636 + ... + 183985104.

It is an arithmetic number, because the mean of its divisors is an integer number (195587063100).

Almost surely, 210020001221030 is an apocalyptic number.

10020001221030 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 10020001221030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12517572038400).

10020001221030 is an abundant number, since it is smaller than the sum of its proper divisors (15015142855770).

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

10020001221030 is a wasteful number, since it uses less digits than its factorization.

10020001221030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56998.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10020001221030 its reverse (3012210002001), we get a palindrome (13032211223031).

The spelling of 10020001221030 in words is "ten trillion, twenty billion, one million, two hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 59 86 118 129 177 215 258 295 354 430 590 645 885 1290 1770 2417 2537 4834 5074 7251 7611 12085 12685 14502 15222 24170 25370 36255 38055 54469 72510 76110 103931 108938 142603 163407 207862 272345 285206 311793 326814 427809 519655 544690 623586 713015 817035 855618 1039310 1426030 1558965 1634070 2139045 2342167 3117930 3213671 4278090 4684334 6131929 6427342 7026501 9641013 11710835 12263858 14053002 16068355 18395787 19282026 23421670 30659645 32136710 35132505 36791574 48205065 61319290 70265010 91978935 96410130 131651573 138187853 183957870 263303146 276375706 394954719 414563559 658257865 690939265 789909438 829127118 1316515730 1381878530 1974773595 2072817795 3949547190 4145635590 5661017639 7767442807 11322035278 15534885614 16983052917 23302328421 28305088195 33966105834 38837214035 46604656842 56610176390 77674428070 84915264585 116511642105 169830529170 233023284210 334000040701 668000081402 1002000122103 1670000203505 2004000244206 3340000407010 5010000610515 10020001221030