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1001102020020 = 223256947800587
BaseRepresentation
bin11101001000101100101…
…01001000110110110100
310112201000112001211202100
432210112111020312310
5112400224104120040
62043522214342100
7132220145524254
oct16442625106664
93481015054670
101001102020020
11356623a9a943
1214202b05a930
13735326a5aab
143664c94d964
151b09339ab30
hexe916548db4

1001102020020 has 72 divisors (see below), whose sum is σ = 3037117041504. Its totient is φ = 266921777088.

The previous prime is 1001102019997. The next prime is 1001102020031. The reversal of 1001102020020 is 200202011001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001102019984 and 1001102020011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 850167 + ... + 1650753.

It is an arithmetic number, because the mean of its divisors is an integer number (42182181132).

Almost surely, 21001102020020 is an apocalyptic number.

1001102020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001102020020 is an abundant number, since it is smaller than the sum of its proper divisors (2036015021484).

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

1001102020020 is a wasteful number, since it uses less digits than its factorization.

1001102020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807549 (or 807544 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001102020020 its reverse (200202011001), we get a palindrome (1201304031021).

The spelling of 1001102020020 in words is "one trillion, one billion, one hundred two million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6947 13894 20841 27788 34735 41682 62523 69470 83364 104205 125046 138940 208410 250092 312615 416820 625230 800587 1250460 1601174 2401761 3202348 4002935 4803522 7205283 8005870 9607044 12008805 14410566 16011740 24017610 28821132 36026415 48035220 72052830 144105660 5561677889 11123355778 16685033667 22246711556 27808389445 33370067334 50055101001 55616778890 66740134668 83425168335 100110202002 111233557780 166850336670 200220404004 250275505005 333700673340 500551010010 1001102020020