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120201230100 = 223527113506537
BaseRepresentation
bin110111111110010001…
…1010011011100010100
3102111021000211011022010
41233330203103130110
53432133003330400
6131115241304220
711453461412040
oct1577443233424
9374230734263
10120201230100
1146a82508296
121b367195070
13b447ab2533
145b63d69020
1531d79a4450
hex1bfc8d3714

120201230100 has 144 divisors (see below), whose sum is σ = 400983585408. Its totient is φ = 27231375360.

The previous prime is 120201230011. The next prime is 120201230101. The reversal of 120201230100 is 1032102021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201230101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15969 + ... + 490568.

It is an arithmetic number, because the mean of its divisors is an integer number (2784608232).

Almost surely, 2120201230100 is an apocalyptic number.

120201230100 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 120201230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491792704).

120201230100 is an abundant number, since it is smaller than the sum of its proper divisors (280782355308).

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

120201230100 is a wasteful number, since it uses less digits than its factorization.

120201230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506674 (or 506667 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120201230100 its reverse (1032102021), we get a palindrome (121233332121).

The spelling of 120201230100 in words is "one hundred twenty billion, two hundred one million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 113 140 150 175 210 226 300 339 350 420 452 525 565 678 700 791 1050 1130 1356 1582 1695 2100 2260 2373 2825 3164 3390 3955 4746 5650 6780 7910 8475 9492 11300 11865 15820 16950 19775 23730 33900 39550 47460 59325 79100 118650 237300 506537 1013074 1519611 2026148 2532685 3039222 3545759 5065370 6078444 7091518 7598055 10130740 10637277 12663425 14183036 15196110 17728795 21274554 25326850 30392220 35457590 37990275 42549108 50653700 53186385 57238681 70915180 75980550 88643975 106372770 114477362 151961100 171716043 177287950 212745540 228954724 265931925 286193405 343432086 354575900 400670767 531863850 572386810 686864172 801341534 858580215 1063727700 1144773620 1202012301 1430967025 1602683068 1717160430 2003353835 2404024602 2861934050 3434320860 4006707670 4292901075 4808049204 5723868100 6010061505 8013415340 8585802150 10016769175 12020123010 17171604300 20033538350 24040246020 30050307525 40067076700 60100615050 120201230100