Search a number
-
+
1010106051010 = 257101142872143
BaseRepresentation
bin11101011001011110000…
…00110010100111000010
310120120021000202000020121
432230233000302213002
5113022144122113020
62052011502130454
7132656240524420
oct16545700624702
93516230660217
101010106051010
1135a424594671
12143922580a2a
1374338c37a94
1436c646d4110
151b41dac1baa
hexeb2f0329c2

1010106051010 has 32 divisors (see below), whose sum is σ = 2098506051072. Its totient is φ = 342893140800.

The previous prime is 1010106051001. The next prime is 1010106051023. The reversal of 1010106051010 is 101506010101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71429002 + ... + 71443141.

It is an arithmetic number, because the mean of its divisors is an integer number (65578314096).

Almost surely, 21010106051010 is an apocalyptic number.

1010106051010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010106051010 is an abundant number, since it is smaller than the sum of its proper divisors (1088400000062).

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

1010106051010 is a wasteful number, since it uses less digits than its factorization.

1010106051010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142872258.

The product of its (nonzero) digits is 30, while the sum is 16.

The spelling of 1010106051010 in words is "one trillion, ten billion, one hundred six million, fifty-one thousand, ten".

Divisors: 1 2 5 7 10 14 35 70 101 202 505 707 1010 1414 3535 7070 142872143 285744286 714360715 1000105001 1428721430 2000210002 5000525005 10001050010 14430086443 28860172886 72150432215 101010605101 144300864430 202021210202 505053025505 1010106051010