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101420000 = 255411461
BaseRepresentation
bin1100000101110…
…00101111100000
321001211200002022
412002320233200
5201430420000
614021441012
72341025063
oct602705740
9231750068
10101420000
1152281390
1229b70168
131801cc46
14d6808da
158d85585
hex60b8be0

101420000 has 120 divisors (see below), whose sum is σ = 272781432. Its totient is φ = 36800000.

The previous prime is 101419993. The next prime is 101420017. The reversal of 101420000 is 24101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101420000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219770 + ... + 220230.

Almost surely, 2101420000 is an apocalyptic number.

101420000 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 101420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136390716).

101420000 is an abundant number, since it is smaller than the sum of its proper divisors (171361432).

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

101420000 is an equidigital number, since it uses as much as digits as its factorization.

101420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 101420000 is about 10070.7497238289. The cubic root of 101420000 is about 466.3455841236.

Adding to 101420000 its reverse (24101), we get a palindrome (101444101).

The spelling of 101420000 in words is "one hundred one million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 461 500 550 625 800 880 922 1000 1100 1250 1375 1760 1844 2000 2200 2305 2500 2750 3688 4000 4400 4610 5000 5071 5500 6875 7376 8800 9220 10000 10142 11000 11525 13750 14752 18440 20000 20284 22000 23050 25355 27500 36880 40568 44000 46100 50710 55000 57625 73760 81136 92200 101420 110000 115250 126775 162272 184400 202840 220000 230500 253550 288125 368800 405680 461000 507100 576250 633875 811360 922000 1014200 1152500 1267750 1844000 2028400 2305000 2535500 3169375 4056800 4610000 5071000 6338750 9220000 10142000 12677500 20284000 25355000 50710000 101420000