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20101210201000 = 235353379268117
BaseRepresentation
bin1001001001000001011010…
…11111100101101110101000
32122011122201220022102120201
410210200231133211232220
510113314234302413000
6110430211332001544
74143156504363115
oct444405537455650
978148656272521
1020101210201000
11644a96a137055
1223078ba7602b4
13b2a6c7749b36
144d6c91d0590c
1524cd2a47396a
hex12482d7e5ba8

20101210201000 has 64 divisors (see below), whose sum is σ = 47924319390480. Its totient is φ = 7888776812800.

The previous prime is 20101210200983. The next prime is 20101210201003. The reversal of 20101210201000 is 10201210102.

It can be written as a sum of positive squares in 8 ways, for example, as 68728914244 + 20032481286756 = 262162^2 + 4475766^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20101210201003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189581059 + ... + 189687058.

Almost surely, 220101210201000 is an apocalyptic number.

20101210201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101210201000 is an abundant number, since it is smaller than the sum of its proper divisors (27823109189480).

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

20101210201000 is a wasteful number, since it uses less digits than its factorization.

20101210201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379268191 (or 379268177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20101210201000 its reverse (10201210102), we get a palindrome (20111411411102).

The spelling of 20101210201000 in words is "twenty trillion, one hundred one billion, two hundred ten million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1060 1325 2120 2650 5300 6625 10600 13250 26500 53000 379268117 758536234 1517072468 1896340585 3034144936 3792681170 7585362340 9481702925 15170724680 18963405850 20101210201 37926811700 40202420402 47408514625 75853623400 80404840804 94817029250 100506051005 160809681608 189634058500 201012102010 379268117000 402024204020 502530255025 804048408040 1005060510050 2010121020100 2512651275125 4020242040200 5025302550250 10050605100500 20101210201000