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1001010120220 = 2251123792504153
BaseRepresentation
bin11101001000100001101…
…10100100011000011100
310112200210010010211221001
432210100312210120130
5112400032042321340
62043505132520044
7132214651426645
oct16442066443034
93480703124831
101001010120220
113565871311a0
12142004320024
137351963a206
143664066a6cc
151b08a29629a
hexe910da461c

1001010120220 has 96 divisors (see below), whose sum is σ = 2423219742720. Its totient is φ = 343769986560.

The previous prime is 1001010120107. The next prime is 1001010120251. The reversal of 1001010120220 is 220210101001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1001010120197 and 1001010120206.

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, 852337 + ... + 1651816.

It is an arithmetic number, because the mean of its divisors is an integer number (25241872320).

Almost surely, 21001010120220 is an apocalyptic number.

1001010120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001010120220 is an abundant number, since it is smaller than the sum of its proper divisors (1422209622500).

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

1001010120220 is a wasteful number, since it uses less digits than its factorization.

1001010120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504275 (or 2504273 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001010120220 its reverse (220210101001), we get a palindrome (1221220221221).

The spelling of 1001010120220 in words is "one trillion, one billion, ten million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 79 92 110 115 158 220 230 253 316 395 460 506 790 869 1012 1265 1580 1738 1817 2530 3476 3634 4345 5060 7268 8690 9085 17380 18170 19987 36340 39974 79948 99935 199870 399740 2504153 5008306 10016612 12520765 25041530 27545683 50083060 55091366 57595519 110182732 115191038 137728415 197828087 230382076 275456830 287977595 395656174 550913660 575955190 633550709 791312348 989140435 1151910380 1267101418 1978280870 2176108957 2534202836 3167753545 3956561740 4352217914 4550046001 6335507090 8704435828 9100092002 10880544785 12671014180 18200184004 21761089570 22750230005 43522179140 45500460010 50050506011 91000920020 100101012022 200202024044 250252530055 500505060110 1001010120220