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20002010220100 = 22521277156632813
BaseRepresentation
bin1001000110001000101001…
…01101101100011001000100
32121211011200111001021020001
410203010110231230121010
510110203104104020400
6110312444024051044
74133045313430606
oct443042455543104
977734614037201
1020002010220100
116411894355167
1222b0634903a84
13b212488c8b9c
144d2161217176
1524a4715b6a6a
hex123114b6c644

20002010220100 has 36 divisors (see below), whose sum is σ = 43438351775364. Its totient is φ = 7994538724480.

The previous prime is 20002010220097. The next prime is 20002010220131. The reversal of 20002010220100 is 102201020002.

It can be written as a sum of positive squares in 6 ways, for example, as 3766526088516 + 16235484131584 = 1940754^2 + 4029328^2 .

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

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, 78188707 + ... + 78444106.

It is an arithmetic number, because the mean of its divisors is an integer number (1206620882649).

Almost surely, 220002010220100 is an apocalyptic number.

20002010220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002010220100 is an abundant number, since it is smaller than the sum of its proper divisors (23436341555264).

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

20002010220100 is a wasteful number, since it uses less digits than its factorization.

20002010220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156634104 (or 156634097 counting only the distinct ones).

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

Adding to 20002010220100 its reverse (102201020002), we get a palindrome (20104211240102).

The spelling of 20002010220100 in words is "twenty trillion, two billion, ten million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1277 2554 5108 6385 12770 25540 31925 63850 127700 156632813 313265626 626531252 783164065 1566328130 3132656260 3915820325 7831640650 15663281300 200020102201 400040204402 800080408804 1000100511005 2000201022010 4000402044020 5000502555025 10001005110050 20002010220100