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101420660 = 225114371151
BaseRepresentation
bin1100000101110…
…00111001110100
321001211200222202
412002320321310
5201430430120
614021444032
72341030025
oct602707164
9231750882
10101420660
1152281930
1229b70618
1318020333
14d680c4c
158d85875
hex60b8e74

101420660 has 96 divisors (see below), whose sum is σ = 242694144. Its totient is φ = 35280000.

The previous prime is 101420659. The next prime is 101420677. The reversal of 101420660 is 66024101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671585 + ... + 671735.

It is an arithmetic number, because the mean of its divisors is an integer number (2528064).

Almost surely, 2101420660 is an apocalyptic number.

101420660 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 101420660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121347072).

101420660 is an abundant number, since it is smaller than the sum of its proper divisors (141273484).

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

101420660 is a wasteful number, since it uses less digits than its factorization.

101420660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 101420660 is about 10070.7824919417. The cubic root of 101420660 is about 466.3465957170.

Adding to 101420660 its reverse (66024101), we get a palindrome (167444761).

The spelling of 101420660 in words is "one hundred one million, four hundred twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 71 86 110 142 151 172 215 220 284 302 355 430 473 604 710 755 781 860 946 1420 1510 1562 1661 1892 2365 3020 3053 3124 3322 3905 4730 6106 6493 6644 7810 8305 9460 10721 12212 12986 15265 15620 16610 21442 25972 30530 32465 33220 33583 42884 53605 61060 64930 67166 71423 107210 117931 129860 134332 142846 167915 214420 235862 285692 335830 357115 461003 471724 589655 671660 714230 922006 1179310 1428460 1844012 2305015 2358620 4610030 5071033 9220060 10142066 20284132 25355165 50710330 101420660