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221002100020 = 225133474994909
BaseRepresentation
bin1100110111010011000…
…0000110110100110100
3210010110000102220112201
43031310300012310310
512110103014200040
6245305453554244
721652431566212
oct3156460066464
9703400386481
10221002100020
11857a9a18859
12369b91a5984
1317ac04baab0
14a9a74ddcb2
155b37188a9a
hex3374c06d34

221002100020 has 96 divisors (see below), whose sum is σ = 502351920000. Its totient is φ = 81186015744.

The previous prime is 221002099931. The next prime is 221002100051. The reversal of 221002100020 is 20001200122.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45017326 + ... + 45022234.

It is an arithmetic number, because the mean of its divisors is an integer number (5232832500).

Almost surely, 2221002100020 is an apocalyptic number.

221002100020 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 221002100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251175960000).

221002100020 is an abundant number, since it is smaller than the sum of its proper divisors (281349819980).

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

221002100020 is a wasteful number, since it uses less digits than its factorization.

221002100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 221002100020 its reverse (20001200122), we get a palindrome (241003300142).

The spelling of 221002100020 in words is "two hundred twenty-one billion, two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 347 499 694 998 1388 1735 1996 2495 3470 4511 4909 4990 6487 6940 9022 9818 9980 12974 18044 19636 22555 24545 25948 32435 45110 49090 63817 64870 90220 98180 127634 129740 173153 255268 319085 346306 638170 692612 865765 1276340 1703423 1731530 2250989 2449591 3406846 3463060 4501978 4899182 6813692 8517115 9003956 9798364 11254945 12247955 17034230 22144499 22509890 24495910 31844683 34068460 44288998 45019780 48991820 63689366 88577996 110722495 127378732 159223415 221444990 318446830 442889980 636893660 850008077 1700016154 3400032308 4250040385 8500080770 11050105001 17000161540 22100210002 44200420004 55250525005 110501050010 221002100020