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221200111020 = 223572160746819
BaseRepresentation
bin1100111000000010001…
…1011101010110101100
3210010221211000220120110
43032000203131112230
512111004212023040
6245341250020020
721660354630600
oct3160043352654
9703854026513
10221200111020
11858a0772409
1236a53577610
1317b22529975
14a9c5925500
155b4974d980
hex33808dd5ac

221200111020 has 144 divisors (see below), whose sum is σ = 720944098560. Its totient is φ = 50527483776.

The previous prime is 221200111007. The next prime is 221200111031. The reversal of 221200111020 is 20111002122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221200110987 and 221200111005.

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, 4701171 + ... + 4747989.

It is an arithmetic number, because the mean of its divisors is an integer number (5006556240).

Almost surely, 2221200111020 is an apocalyptic number.

221200111020 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 221200111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360472049280).

221200111020 is an abundant number, since it is smaller than the sum of its proper divisors (499743987540).

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

221200111020 is a wasteful number, since it uses less digits than its factorization.

221200111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48452 (or 48443 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221200111020 its reverse (20111002122), we get a palindrome (241311113142).

The spelling of 221200111020 in words is "two hundred twenty-one billion, two hundred million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 1607 2940 3214 4821 6428 8035 9642 11249 16070 19284 22498 24105 32140 33747 44996 46819 48210 56245 67494 78743 93638 96420 112490 134988 140457 157486 168735 187276 224980 234095 236229 280914 314972 327733 337470 393715 468190 472458 561828 655466 674940 702285 787430 936380 944916 983199 1181145 1310932 1404570 1574860 1638665 1966398 2294131 2362290 2809140 3277330 3932796 4588262 4724580 4915995 6554660 6882393 9176524 9831990 11470655 13764786 19663980 22941310 27529572 34411965 45882620 68823930 75238133 137647860 150476266 225714399 300952532 376190665 451428798 526666931 752381330 902857596 1053333862 1128571995 1504762660 1580000793 2106667724 2257143990 2633334655 3160001586 3686668517 4514287980 5266669310 6320003172 7373337034 7900003965 10533338620 11060005551 14746674068 15800007930 18433342585 22120011102 31600015860 36866685170 44240022204 55300027755 73733370340 110600055510 221200111020