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101004324520 = 235111971170167
BaseRepresentation
bin101111000010001010…
…0111010111010101000
3100122201011110022111011
41132010110322322220
53123324101341040
6114222321113304
710203660410221
oct1360424727250
9318634408434
10101004324520
1139921342a70
12176aa188834
1396a89020c8
144c625b6248
1529624c23ea
hex178453aea8

101004324520 has 128 divisors (see below), whose sum is σ = 264645273600. Its totient is φ = 34305465600.

The previous prime is 101004324503. The next prime is 101004324557. The reversal of 101004324520 is 25423400101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 101004324491 and 101004324500.

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, 508477 + ... + 678643.

It is an arithmetic number, because the mean of its divisors is an integer number (2067541200).

Almost surely, 2101004324520 is an apocalyptic number.

101004324520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101004324520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132322636800).

101004324520 is an abundant number, since it is smaller than the sum of its proper divisors (163640949080).

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

101004324520 is a wasteful number, since it uses less digits than its factorization.

101004324520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170279 (or 170275 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 101004324520 its reverse (25423400101), we get a palindrome (126427724621).

It can be divided in two parts, 101004 and 324520, that added together give a palindrome (425524).

The spelling of 101004324520 in words is "one hundred one billion, four million, three hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 71 76 88 95 110 142 152 190 209 220 284 355 380 418 440 568 710 760 781 836 1045 1349 1420 1562 1672 2090 2698 2840 3124 3905 4180 5396 6248 6745 7810 8360 10792 13490 14839 15620 26980 29678 31240 53960 59356 74195 118712 148390 170167 296780 340334 593560 680668 850835 1361336 1701670 1871837 3233173 3403340 3743674 6466346 6806680 7487348 9359185 12081857 12932692 14974696 16165865 18718370 24163714 25865384 32331730 35564903 37436740 48327428 60409285 64663460 71129806 74873480 96654856 120818570 129326920 132900427 142259612 177824515 229555283 241637140 265800854 284519224 355649030 459110566 483274280 531601708 664502135 711298060 918221132 1063203416 1147776415 1329004270 1422596120 1836442264 2295552830 2525108113 2658008540 4591105660 5050216226 5316017080 9182211320 10100432452 12625540565 20200864904 25251081130 50502162260 101004324520