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101313204030 = 23357310150893
BaseRepresentation
bin101111001011010111…
…1001100111100111110
3100200111200200000112000
41132112233030330332
53124442140012110
6114313113323130
710214431011453
oct1362657147476
9320450600460
10101313204030
1139a6a731795
12177757064a6
1397278bb74c
144c9161b82a
15297e6871c0
hex1796bccf3e

101313204030 has 128 divisors (see below), whose sum is σ = 276586496640. Its totient is φ = 26382412800.

The previous prime is 101313203951. The next prime is 101313204049. The reversal of 101313204030 is 30402313101.

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 = 101313203994 and 101313204012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1965264 + ... + 2016156.

It is an arithmetic number, because the mean of its divisors is an integer number (2160832005).

Almost surely, 2101313204030 is an apocalyptic number.

101313204030 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 101313204030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138293248320).

101313204030 is an abundant number, since it is smaller than the sum of its proper divisors (175273292610).

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

101313204030 is a wasteful number, since it uses less digits than its factorization.

101313204030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51083 (or 51077 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101313204030 its reverse (30402313101), we get a palindrome (131715517131).

The spelling of 101313204030 in words is "one hundred one billion, three hundred thirteen million, two hundred four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 101 135 146 202 219 270 303 365 438 505 606 657 730 909 1010 1095 1314 1515 1818 1971 2190 2727 3030 3285 3942 4545 5454 6570 7373 9090 9855 13635 14746 19710 22119 27270 36865 44238 50893 66357 73730 101786 110595 132714 152679 199071 221190 254465 305358 331785 398142 458037 508930 663570 763395 916074 995355 1374111 1526790 1990710 2290185 2748222 3715189 4580370 5140193 6870555 7430378 10280386 11145567 13741110 15420579 18575945 22291134 25700965 30841158 33436701 37151890 46261737 51401930 55727835 66873402 77102895 92523474 100310103 111455670 138785211 154205790 167183505 200620206 231308685 277570422 334367010 375234089 462617370 501550515 693926055 750468178 1003101030 1125702267 1387852110 1876170445 2251404534 3377106801 3752340890 5628511335 6754213602 10131320403 11257022670 16885534005 20262640806 33771068010 50656602015 101313204030