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101122032030 = 23561106152081
BaseRepresentation
bin101111000101101010…
…1111100000110011110
3100200000100221110211120
41132023111330012132
53124044220011110
6114242124031410
710206620042625
oct1361325740636
9320010843746
10101122032030
11399818293a8
1217721692566
1396c7105716
144c740966bc
15296c9c3870
hex178b57c19e

101122032030 has 64 divisors (see below), whose sum is σ = 246908678976. Its totient is φ = 26498304000.

The previous prime is 101122032019. The next prime is 101122032101. The reversal of 101122032030 is 30230221101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1915590 + ... + 1967670.

It is an arithmetic number, because the mean of its divisors is an integer number (3857948109).

Almost surely, 2101122032030 is an apocalyptic number.

101122032030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122032030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123454339488).

101122032030 is an abundant number, since it is smaller than the sum of its proper divisors (145786646946).

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

101122032030 is a wasteful number, since it uses less digits than its factorization.

101122032030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53213.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101122032030 its reverse (30230221101), we get a palindrome (131352253131).

The spelling of 101122032030 in words is "one hundred one billion, one hundred twenty-two million, thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1061 1830 2122 3183 5305 6366 10610 15915 31830 52081 64721 104162 129442 156243 194163 260405 312486 323605 388326 520810 647210 781215 970815 1562430 1941630 3176941 6353882 9530823 15884705 19061646 31769410 47654115 55257941 95308230 110515882 165773823 276289705 331547646 552579410 828869115 1657738230 3370734401 6741468802 10112203203 16853672005 20224406406 33707344010 50561016015 101122032030