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101402020 = 22541123661
BaseRepresentation
bin1100000101101…
…00010110100100
321001210202102101
412002310112210
5201424331040
614021221444
72340621466
oct602642644
9231722371
10101402020
1152269925
1229b61884
13180149c5
14d678136
158d8009a
hex60b45a4

101402020 has 24 divisors (see below), whose sum is σ = 218139768. Its totient is φ = 39571200.

The previous prime is 101402011. The next prime is 101402039. The reversal of 101402020 is 20204101.

It can be written as a sum of positive squares in 4 ways, for example, as 3748096 + 97653924 = 1936^2 + 9882^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101401988 and 101402006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61011 + ... + 62650.

It is an arithmetic number, because the mean of its divisors is an integer number (9089157).

Almost surely, 2101402020 is an apocalyptic number.

101402020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101402020 is an abundant number, since it is smaller than the sum of its proper divisors (116737748).

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

101402020 is a wasteful number, since it uses less digits than its factorization.

101402020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123711 (or 123709 counting only the distinct ones).

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

The square root of 101402020 is about 10069.8569999777. The cubic root of 101402020 is about 466.3180241777.

Adding to 101402020 its reverse (20204101), we get a palindrome (121606121).

The spelling of 101402020 in words is "one hundred one million, four hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 123661 247322 494644 618305 1236610 2473220 5070101 10140202 20280404 25350505 50701010 101402020