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101322942 = 23731591319
BaseRepresentation
bin1100000101000…
…01000010111110
321001122201221120
412002201002332
5201414313232
614015411410
72340142110
oct602410276
9231581846
10101322942
1152215476
1229b23b66
1317cb7a06
14d6573b0
158d6692c
hex60a10be

101322942 has 64 divisors (see below), whose sum is σ = 243302400. Its totient is φ = 27519840.

The previous prime is 101322917. The next prime is 101322943. The reversal of 101322942 is 249223101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76159 + ... + 77477.

It is an arithmetic number, because the mean of its divisors is an integer number (3801600).

Almost surely, 2101322942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101322942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121651200).

101322942 is an abundant number, since it is smaller than the sum of its proper divisors (141979458).

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

101322942 is a wasteful number, since it uses less digits than its factorization.

101322942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 101322942 is about 10065.9297633155. The cubic root of 101322942 is about 466.1967738429.

The spelling of 101322942 in words is "one hundred one million, three hundred twenty-two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 59 62 93 118 177 186 217 354 413 434 651 826 1239 1302 1319 1829 2478 2638 3658 3957 5487 7914 9233 10974 12803 18466 25606 27699 38409 40889 55398 76818 77821 81778 122667 155642 233463 245334 286223 466926 544747 572446 858669 1089494 1634241 1717338 2412451 3268482 4824902 7237353 14474706 16887157 33774314 50661471 101322942