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101300220 = 2234578933
BaseRepresentation
bin1100000100110…
…11011111111100
321001121120210000
412002123133330
5201413101340
614015114300
72340015630
oct602333774
9231546700
10101300220
11521aa39a
1229b12990
1317caa578
14d64cdc0
158d5ed30
hex609b7fc

101300220 has 120 divisors (see below), whose sum is σ = 363220704. Its totient is φ = 23151744.

The previous prime is 101300209. The next prime is 101300231. The reversal of 101300220 is 22003101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101300209) and next prime (101300231).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6874 + ... + 15806.

Almost surely, 2101300220 is an apocalyptic number.

101300220 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 101300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181610352).

101300220 is an abundant number, since it is smaller than the sum of its proper divisors (261920484).

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

101300220 is a wasteful number, since it uses less digits than its factorization.

101300220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8961 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 101300220 is about 10064.8010412526. The cubic root of 101300220 is about 466.1619225223.

Adding to 101300220 its reverse (22003101), we get a palindrome (123303321).

The spelling of 101300220 in words is "one hundred one million, three hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 8933 11340 17866 26799 35732 44665 53598 62531 80397 89330 107196 125062 133995 160794 178660 187593 241191 250124 267990 312655 321588 375186 401985 482382 535980 562779 625310 723573 750372 803970 937965 964764 1125558 1205955 1250620 1447146 1607940 1688337 1875930 2251116 2411910 2813895 2894292 3376674 3617865 3751860 4823820 5065011 5627790 6753348 7235730 8441685 10130022 11255580 14471460 16883370 20260044 25325055 33766740 50650110 101300220