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101023313130 = 2335493775787
BaseRepresentation
bin101111000010101110…
…1010110110011101010
3100122202111012000222000
41132011131112303222
53123343432010010
6114224240111430
710204310664465
oct1360535266352
9318674160860
10101023313130
1139931032433
12176b4605576
1396ac82007c
144c64d1a2dc
152963ec37c0
hex1785756cea

101023313130 has 64 divisors (see below), whose sum is σ = 269453623680. Its totient is φ = 26933738112.

The previous prime is 101023313117. The next prime is 101023313147. The reversal of 101023313130 is 31313320101.

It is a happy number.

101023313130 is a `hidden beast` number, since 10 + 10 + 2 + 331 + 313 + 0 = 666.

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

It is a Curzon 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, 1295097 + ... + 1370883.

It is an arithmetic number, because the mean of its divisors is an integer number (4210212870).

Almost surely, 2101023313130 is an apocalyptic number.

101023313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101023313130 is an abundant number, since it is smaller than the sum of its proper divisors (168430310550).

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

101023313130 is a wasteful number, since it uses less digits than its factorization.

101023313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80740 (or 80734 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101023313130 its reverse (31313320101), we get a palindrome (132336633231).

The spelling of 101023313130 in words is "one hundred one billion, twenty-three million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 4937 9874 14811 24685 29622 44433 49370 74055 75787 88866 133299 148110 151574 222165 227361 266598 378935 444330 454722 666495 682083 757870 1136805 1332990 1364166 2046249 2273610 3410415 4092498 6820830 10231245 20462490 374160419 748320838 1122481257 1870802095 2244962514 3367443771 3741604190 5612406285 6734887542 10102331313 11224812570 16837218855 20204662626 33674437710 50511656565 101023313130