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101102110320 = 24351724779929
BaseRepresentation
bin101111000101000100…
…1111100011001110000
3100122221222110100101110
41132022021330121300
53124024120012240
6114240133033320
710206255521061
oct1361211743160
9318858410343
10101102110320
1139971561982
1217716a85840
1396c2c4bb23
144c7158c568
15296ad8ac80
hex178a27c670

101102110320 has 80 divisors (see below), whose sum is σ = 331852822560. Its totient is φ = 25374646272.

The previous prime is 101102110313. The next prime is 101102110379. The reversal of 101102110320 is 23011201101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1011021103202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101102110296 and 101102110305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12385885 + ... + 12394044.

It is an arithmetic number, because the mean of its divisors is an integer number (4148160282).

Almost surely, 2101102110320 is an apocalyptic number.

101102110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102110320 is an abundant number, since it is smaller than the sum of its proper divisors (230750712240).

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

101102110320 is a wasteful number, since it uses less digits than its factorization.

101102110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24779962 (or 24779956 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101102110320 its reverse (23011201101), we get a palindrome (124113311421).

The spelling of 101102110320 in words is "one hundred one billion, one hundred two million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 24779929 49559858 74339787 99119716 123899645 148679574 198239432 247799290 297359148 371698935 396478864 421258793 495598580 594718296 743397870 842517586 991197160 1189436592 1263776379 1486795740 1685035172 1982394320 2106293965 2527552758 2973591480 3370070344 4212587930 5055105516 5947182960 6318881895 6740140688 8425175860 10110211032 12637763790 16850351720 20220422064 25275527580 33700703440 50551055160 101102110320