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1001000200020 = 2235372467182773
BaseRepresentation
bin11101001000100000100…
…00101110011101010100
310112200202102110211222020
432210100100232131110
5112400022022400040
62043504140133140
7132214501212042
oct16442020563524
93480672424866
101001000200020
11356581575a87
12142000b371b0
1373517575a82
143663d207392
151b089486cd0
hexe91042e754

1001000200020 has 96 divisors (see below), whose sum is σ = 2879734505088. Its totient is φ = 259612273152.

The previous prime is 1001000200003. The next prime is 1001000200037. The reversal of 1001000200020 is 200020001001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1001000200003) and next prime (1001000200037).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1001000199981 and 1001000200008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5385354 + ... + 5568126.

It is an arithmetic number, because the mean of its divisors is an integer number (29997234428).

Almost surely, 21001000200020 is an apocalyptic number.

1001000200020 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 1001000200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439867252544).

1001000200020 is an abundant number, since it is smaller than the sum of its proper divisors (1878734305068).

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

1001000200020 is a wasteful number, since it uses less digits than its factorization.

1001000200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185289 (or 185287 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1001000200020 its reverse (200020001001), we get a palindrome (1201020201021).

The spelling of 1001000200020 in words is "one trillion, one billion, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 2467 4934 7401 9868 12335 14802 24670 29604 37005 49340 74010 91279 148020 182558 182773 273837 365116 365546 456395 547674 548319 731092 912790 913865 1095348 1096638 1369185 1825580 1827730 2193276 2738370 2741595 3655460 5476740 5483190 6762601 10966380 13525202 20287803 27050404 33813005 40575606 67626010 81151212 101439015 135252020 202878030 405756060 450900991 901801982 1352702973 1803603964 2254504955 2705405946 4509009910 5410811892 6763514865 9018019820 13527029730 16683336667 27054059460 33366673334 50050010001 66733346668 83416683335 100100020002 166833366670 200200040004 250250050005 333666733340 500500100010 1001000200020