Search a number
-
+
1001022000100 = 225216276152563
BaseRepresentation
bin11101001000100011000…
…11111000101111100100
310112200210221111102001121
432210101203320233210
5112400043113000400
62043510235303324
7132215154416113
oct16442143705744
93480727442047
101001022000100
11356592905781
121420082aab44
137351bc39625
143664207dc7a
151b08b34121a
hexe9118f8be4

1001022000100 has 36 divisors (see below), whose sum is σ = 2173553199664. Its totient is φ = 400162632480.

The previous prime is 1001022000073. The next prime is 1001022000101. The reversal of 1001022000100 is 10002201001.

1001022000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1001022000101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2913582 + ... + 3238981.

Almost surely, 21001022000100 is an apocalyptic number.

1001022000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001022000100 is an abundant number, since it is smaller than the sum of its proper divisors (1172531199564).

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

1001022000100 is a wasteful number, since it uses less digits than its factorization.

1001022000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6154204 (or 6154197 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1001022000100 its reverse (10002201001), we get a palindrome (1011024201101).

The spelling of 1001022000100 in words is "one trillion, one billion, twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 1627 3254 6508 8135 16270 32540 40675 81350 162700 6152563 12305126 24610252 30762815 61525630 123051260 153814075 307628150 615256300 10010220001 20020440002 40040880004 50051100005 100102200010 200204400020 250255500025 500511000050 1001022000100