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1001120200010 = 257217472125457
BaseRepresentation
bin11101001000101110110…
…10011111010101001010
310112201001210021111000022
432210113122133111022
5112400243232400020
62043524104140442
7132220456203200
oct16442732372512
93481053244008
101001120200010
11356633287827
12142035167722
137353639c998
1436651123070
151b094c8c625
hexe91769f54a

1001120200010 has 96 divisors (see below), whose sum is σ = 2220087700368. Its totient is φ = 322969436160.

The previous prime is 1001120200007. The next prime is 1001120200013. The reversal of 1001120200010 is 100020211001.

It is an interprime number because it is at equal distance from previous prime (1001120200007) and next prime (1001120200013).

It can be written as a sum of positive squares in 8 ways, for example, as 287157728641 + 713962471369 = 535871^2 + 844963^2 .

It is not an unprimeable number, because it can be changed into a prime (1001120200013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39313202 + ... + 39338658.

Almost surely, 21001120200010 is an apocalyptic number.

1001120200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001120200010 is an abundant number, since it is smaller than the sum of its proper divisors (1218967500358).

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

1001120200010 is a wasteful number, since it uses less digits than its factorization.

1001120200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30216 (or 30209 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001120200010 its reverse (100020211001), we get a palindrome (1101140411011).

The spelling of 1001120200010 in words is "one trillion, one billion, one hundred twenty million, two hundred thousand, ten".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 490 595 833 1190 1666 4165 4721 8330 9442 23605 25457 33047 47210 50914 66094 80257 127285 160514 165235 178199 231329 254570 330470 356398 401285 432769 462658 561799 802570 865538 890995 1123598 1156645 1247393 1781990 2163845 2313290 2494786 2808995 3029383 3932593 4327690 5617990 6058766 6236965 7865186 12473930 15146915 19662965 21205681 30293830 39325930 42411362 106028405 120182497 212056810 240364994 600912485 841277479 1201824970 1682554958 2043102449 4086204898 4206387395 5888942353 8412774790 10215512245 11777884706 14301717143 20431024490 28603434286 29444711765 58889423530 71508585715 100112020001 143017171430 200224040002 500560100005 1001120200010