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101420685 = 325232931109
BaseRepresentation
bin1100000101110…
…00111010001101
321001211201000200
412002320322031
5201430430220
614021444113
72341030062
oct602707215
9231751020
10101420685
1152281953
1229b70639
1318020352
14d680c69
158d85890
hex60b8e8d

101420685 has 96 divisors (see below), whose sum is σ = 197683200. Its totient is φ = 47900160.

The previous prime is 101420677. The next prime is 101420687. The reversal of 101420685 is 586024101.

It is not a de Polignac number, because 101420685 - 23 = 101420677 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101420687) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 930411 + ... + 930519.

It is an arithmetic number, because the mean of its divisors is an integer number (2059200).

Almost surely, 2101420685 is an apocalyptic number.

101420685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101420685 is a deficient number, since it is larger than the sum of its proper divisors (96262515).

101420685 is a wasteful number, since it uses less digits than its factorization.

101420685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 101420685 is about 10070.7837331560. The cubic root of 101420685 is about 466.3466340349.

Adding to 101420685 its reverse (586024101), we get a palindrome (687444786).

The spelling of 101420685 in words is "one hundred one million, four hundred twenty thousand, six hundred eighty-five".

Divisors: 1 3 5 9 15 23 29 31 45 69 87 93 109 115 145 155 207 261 279 327 345 435 465 545 667 713 899 981 1035 1305 1395 1635 2001 2139 2507 2697 3161 3335 3379 3565 4495 4905 6003 6417 7521 8091 9483 10005 10137 10695 12535 13485 15805 16895 20677 22563 28449 30015 30411 32085 37605 40455 47415 50685 62031 72703 77717 97991 103385 112815 142245 152055 186093 218109 233151 293973 310155 363515 388585 489955 654327 699453 881919 930465 1090545 1165755 1469865 2253793 3271635 3497265 4409595 6761379 11268965 20284137 33806895 101420685