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101402000 = 245377243
BaseRepresentation
bin1100000101101…
…00010110010000
321001210202101122
412002310112100
5201424331000
614021221412
72340621440
oct602642620
9231722348
10101402000
1152269907
1229b61868
13180149ab
14d678120
158d80085
hex60b4590

101402000 has 80 divisors (see below), whose sum is σ = 280255872. Its totient is φ = 34761600.

The previous prime is 101401999. The next prime is 101402003. The reversal of 101402000 is 204101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (101402003) 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, 10379 + ... + 17621.

Almost surely, 2101402000 is an apocalyptic number.

101402000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140127936).

101402000 is an abundant number, since it is smaller than the sum of its proper divisors (178853872).

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

101402000 is an equidigital number, since it uses as much as digits as its factorization.

101402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7273 (or 7257 counting only the distinct ones).

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

The square root of 101402000 is about 10069.8560069149. The cubic root of 101402000 is about 466.3179935196.

Adding to 101402000 its reverse (204101), we get a palindrome (101606101).

The spelling of 101402000 in words is "one hundred one million, four hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 7243 14000 14486 28972 36215 50701 57944 72430 101402 115888 144860 181075 202804 253505 289720 362150 405608 507010 579440 724300 811216 905375 1014020 1267525 1448600 1810750 2028040 2535050 2897200 3621500 4056080 5070100 6337625 7243000 10140200 12675250 14486000 20280400 25350500 50701000 101402000