Search a number
-
+
100020121000 = 2353100020121
BaseRepresentation
bin101110100100110101…
…0011110110110101000
3100120011120111121001221
41131021222132312220
53114320122333000
6113540522151424
710140410000212
oct1351152366650
9316146447057
10100020121000
1139466829328
1217474652574
13957ca35c67
144bab9bb5b2
152905db161a
hex1749a9eda8

100020121000 has 32 divisors (see below), whose sum is σ = 234047085480. Its totient is φ = 40008048000.

The previous prime is 100020120979. The next prime is 100020121021. The reversal of 100020121000 is 121020001.

It is an interprime number because it is at equal distance from previous prime (100020120979) and next prime (100020121021).

It can be written as a sum of positive squares in 4 ways, for example, as 3904000324 + 96116120676 = 62482^2 + 310026^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50009061 + ... + 50011060.

Almost surely, 2100020121000 is an apocalyptic number.

100020121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020121000 is an abundant number, since it is smaller than the sum of its proper divisors (134026964480).

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

100020121000 is a wasteful number, since it uses less digits than its factorization.

100020121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100020142 (or 100020128 counting only the distinct ones).

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

Adding to 100020121000 its reverse (121020001), we get a palindrome (100141141001).

It can be divided in two parts, 1000201 and 21000, that added together give a palindrome (1021201).

The spelling of 100020121000 in words is "one hundred billion, twenty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 100020121 200040242 400080484 500100605 800160968 1000201210 2000402420 2500503025 4000804840 5001006050 10002012100 12502515125 20004024200 25005030250 50010060500 100020121000