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20001011112100 = 2252200010111121
BaseRepresentation
bin1001000110000110110010…
…01010011001100010100100
32121211002002212001022201001
410203003121022121202210
510110144032321041400
6110312200533443044
74133011462233364
oct443033112314244
977732085038631
1020001011112100
116411421390577
1222b03b61a0484
13b21119911a15
144d20a865c9a4
1524a413a0ea6a
hex1230d92998a4

20001011112100 has 18 divisors (see below), whose sum is σ = 43402194113474. Its totient is φ = 8000404444800.

The previous prime is 20001011112097. The next prime is 20001011112139. The reversal of 20001011112100 is 121111010002.

It can be written as a sum of positive squares in 3 ways, for example, as 155999721024 + 19845011391076 = 394968^2 + 4454774^2 .

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 5 ways as a sum of consecutive naturals, for example, 100005055461 + ... + 100005055660.

Almost surely, 220001011112100 is an apocalyptic number.

20001011112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001011112100 is an abundant number, since it is smaller than the sum of its proper divisors (23401183001374).

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

20001011112100 is a wasteful number, since it uses less digits than its factorization.

20001011112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200010111135 (or 200010111128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20001011112100 its reverse (121111010002), we get a palindrome (20122122122102).

The spelling of 20001011112100 in words is "twenty trillion, one billion, eleven million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 200010111121 400020222242 800040444484 1000050555605 2000101111210 4000202222420 5000252778025 10000505556050 20001011112100