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2001000211020 = 22325194283136607
BaseRepresentation
bin11101000111100100111…
…010000010001001001100
321002021221010220211112200
4131013210322002021030
5230241022023223040
64131125151001500
7264365436105126
oct35074472021114
97067833824480
102001000211020
1170168a4a9168
12283982b09290
13116902846605
146cbc5654216
15370b5c01630
hex1d1e4e8224c

2001000211020 has 144 divisors (see below), whose sum is σ = 6390697098240. Its totient is φ = 505394114688.

The previous prime is 2001000211003. The next prime is 2001000211069. The reversal of 2001000211020 is 201120001002.

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 = 2001000210993 and 2001000211011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14579557 + ... + 14716163.

It is an arithmetic number, because the mean of its divisors is an integer number (44379840960).

Almost surely, 22001000211020 is an apocalyptic number.

2001000211020 is a gapful number since it is divisible by the number (20) 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 2001000211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195348549120).

2001000211020 is an abundant number, since it is smaller than the sum of its proper divisors (4389696887220).

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

2001000211020 is a wasteful number, since it uses less digits than its factorization.

2001000211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140924 (or 140919 counting only the distinct ones).

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

Adding to 2001000211020 its reverse (201120001002), we get a palindrome (2202120212022).

The spelling of 2001000211020 in words is "two trillion, one billion, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 4283 8566 12849 17132 21415 25698 38547 42830 51396 64245 77094 81377 85660 128490 136607 154188 162754 192735 244131 256980 273214 325508 385470 406885 409821 488262 546428 683035 732393 770940 813770 819642 976524 1220655 1229463 1366070 1464786 1627540 1639284 2049105 2441310 2458926 2595533 2732140 2929572 3661965 4098210 4882620 4917852 5191066 6147315 7323930 7786599 8196420 10382132 12294630 12977665 14647860 15573198 23359797 24589260 25955330 31146396 38932995 46719594 51910660 77865990 93439188 116798985 155731980 233597970 467195940 585087781 1170175562 1755263343 2340351124 2925438905 3510526686 5265790029 5850877810 7021053372 8776316715 10531580058 11116667839 11701755620 17552633430 21063160116 22233335678 26328950145 33350003517 35105266860 44466671356 52657900290 55583339195 66700007034 100050010551 105315800580 111166678390 133400014068 166750017585 200100021102 222333356780 333500035170 400200042204 500250052755 667000070340 1000500105510 2001000211020