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1322102112 = 253292391987
BaseRepresentation
bin100111011001101…
…1010110101100000
310102010202202010220
41032303122311200
510201424231422
6335105123040
744522453052
oct11663326540
93363682126
101322102112
11619323981
1230a929480
13180ba6156
14c78358d2
157b108e5c
hex4ecdad60

1322102112 has 96 divisors (see below), whose sum is σ = 3607027200. Its totient is φ = 423510528.

The previous prime is 1322102101. The next prime is 1322102161. The reversal of 1322102112 is 2112012231.

1322102112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1322102091 and 1322102100.

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, 664383 + ... + 666369.

It is an arithmetic number, because the mean of its divisors is an integer number (37573200).

Almost surely, 21322102112 is an apocalyptic number.

1322102112 is a gapful number since it is divisible by the number (12) 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 1322102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803513600).

1322102112 is an abundant number, since it is smaller than the sum of its proper divisors (2284925088).

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

1322102112 is a wasteful number, since it uses less digits than its factorization.

1322102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1322102112 is about 36360.7221050408. The cubic root of 1322102112 is about 1097.5433086031.

Adding to 1322102112 its reverse (2112012231), we get a palindrome (3434114343).

The spelling of 1322102112 in words is "one billion, three hundred twenty-two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 239 348 464 478 696 717 928 956 1392 1434 1912 1987 2784 2868 3824 3974 5736 5961 6931 7648 7948 11472 11922 13862 15896 20793 22944 23844 27724 31792 41586 47688 55448 57623 63584 83172 95376 110896 115246 166344 172869 190752 221792 230492 332688 345738 460984 474893 665376 691476 921968 949786 1382952 1424679 1843936 1899572 2765904 2849358 3799144 5531808 5698716 7598288 11397432 13771897 15196576 22794864 27543794 41315691 45589728 55087588 82631382 110175176 165262764 220350352 330525528 440700704 661051056 1322102112