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101210330320 = 245111136311613
BaseRepresentation
bin101111001000010011…
…0110001010011010000
3100200020112002111022121
41132100212301103100
53124234321032240
6114255000344024
710212041420221
oct1362046612320
9320215074277
10101210330320
1139a176581a0
1217747175014
13970c4acc28
144c81abd248
15297561604a
hex17909b14d0

101210330320 has 160 divisors (see below), whose sum is σ = 259549173504. Its totient is φ = 36397670400.

The previous prime is 101210330279. The next prime is 101210330327. The reversal of 101210330320 is 23033012101.

It is a super-2 number, since 2×1012103303202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101210330294 and 101210330303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210330327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62745834 + ... + 62747446.

Almost surely, 2101210330320 is an apocalyptic number.

101210330320 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 101210330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129774586752).

101210330320 is an abundant number, since it is smaller than the sum of its proper divisors (158338843184).

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

101210330320 is a wasteful number, since it uses less digits than its factorization.

101210330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 101210330320 its reverse (23033012101), we get a palindrome (124243342421).

The spelling of 101210330320 in words is "one hundred one billion, two hundred ten million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 113 176 220 226 440 452 565 631 880 904 1130 1243 1262 1613 1808 2260 2486 2524 3155 3226 4520 4972 5048 6215 6310 6452 6941 8065 9040 9944 10096 12430 12620 12904 13882 16130 17743 19888 24860 25240 25808 27764 32260 34705 35486 49720 50480 55528 64520 69410 70972 71303 88715 99440 111056 129040 138820 141944 142606 177430 182269 277640 283888 285212 354860 356515 364538 555280 570424 709720 713030 729076 784333 911345 1017803 1140848 1419440 1426060 1458152 1568666 1822690 2004959 2035606 2852120 2916304 3137332 3645380 3921665 4009918 4071212 5089015 5704240 6274664 7290760 7843330 8019836 8142424 10024795 10178030 11195833 12549328 14581520 15686660 16039672 16284848 20049590 20356060 22391666 31373320 32079344 40099180 40712120 44783332 55979165 62746640 80198360 81424240 89566664 111958330 115011739 160396720 179133328 223916660 230023478 447833320 460046956 575058695 895666640 920093912 1150117390 1265129129 1840187824 2300234780 2530258258 4600469560 5060516516 6325645645 9200939120 10121033032 12651291290 20242066064 25302582580 50605165160 101210330320