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10121134032 = 24347809517
BaseRepresentation
bin10010110110100010…
…00011111111010000
3222010100200212210000
421123101003333100
5131212002242112
64352151010000
7505545135252
oct113321037720
928110625700
1010121134032
114324130889
121b65669900
13c53b20609
146c0295cd2
153e38397dc
hex25b443fd0

10121134032 has 50 divisors (see below), whose sum is σ = 29293502018. Its totient is φ = 3373710912.

The previous prime is 10121134021. The next prime is 10121134043. The reversal of 10121134032 is 23043112101.

10121134032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10121134021) and next prime (10121134043).

It can be written as a sum of positive squares in only one way, i.e., 9073705536 + 1047428496 = 95256^2 + 32364^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10121133996 and 10121134014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3903463 + ... + 3906054.

Almost surely, 210121134032 is an apocalyptic number.

10121134032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121134032 is an abundant number, since it is smaller than the sum of its proper divisors (19172367986).

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

10121134032 is an equidigital number, since it uses as much as digits as its factorization.

10121134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7809537 (or 7809522 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10121134032 its reverse (23043112101), we get a palindrome (33164246133).

The spelling of 10121134032 in words is "ten billion, one hundred twenty-one million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 7809517 15619034 23428551 31238068 46857102 62476136 70285653 93714204 124952272 140571306 187428408 210856959 281142612 374856816 421713918 562285224 632570877 843427836 1124570448 1265141754 1686855672 2530283508 3373711344 5060567016 10121134032