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1000220100200 = 235241121978061
BaseRepresentation
bin11101000111000011100…
…00111000011001101000
310112121202001120200012022
432203201300320121220
5112341422321201300
62043254512004012
7132156246400406
oct16434160703150
93477661520168
101000220100200
11356211197492
12141a23830608
1373421a6ca49
14365a777c476
151b040c41285
hexe8e1c38668

1000220100200 has 48 divisors (see below), whose sum is σ = 2382231550860. Its totient is φ = 390329792000.

The previous prime is 1000220100107. The next prime is 1000220100221. The reversal of 1000220100200 is 20010220001.

It can be written as a sum of positive squares in 6 ways, for example, as 155868619204 + 844351480996 = 394802^2 + 918886^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60980831 + ... + 60997230.

Almost surely, 21000220100200 is an apocalyptic number.

1000220100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000220100200 is an abundant number, since it is smaller than the sum of its proper divisors (1382011450660).

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

1000220100200 is a wasteful number, since it uses less digits than its factorization.

1000220100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121978118 (or 121978109 counting only the distinct ones).

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

Adding to 1000220100200 its reverse (20010220001), we get a palindrome (1020230320201).

The spelling of 1000220100200 in words is "one trillion, two hundred twenty million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 121978061 243956122 487912244 609890305 975824488 1219780610 2439561220 3049451525 4879122440 5001100501 6098903050 10002201002 12197806100 20004402004 24395612200 25005502505 40008804008 50011005010 100022010020 125027512525 200044020040 250055025050 500110050100 1000220100200