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201202011120 = 243511101754583
BaseRepresentation
bin1011101101100010010…
…0110000101111110000
3201020100010002011202210
42323120210300233300
511244030203323440
6232233025212120
720351654606415
oct2733044605760
9636303064683
10201202011120
1178369320a20
1232bb2191040
1315c86368b66
149a499b610c
155378c5aa80
hex2ed8930bf0

201202011120 has 160 divisors (see below), whose sum is σ = 687166447104. Its totient is φ = 48293248000.

The previous prime is 201202011103. The next prime is 201202011163. The reversal of 201202011120 is 21110202102.

201202011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 201202011096 and 201202011105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110652 + ... + 643931.

Almost surely, 2201202011120 is an apocalyptic number.

201202011120 is a gapful number since it is divisible by the number (20) 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 201202011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343583223552).

201202011120 is an abundant number, since it is smaller than the sum of its proper divisors (485964435984).

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

201202011120 is a wasteful number, since it uses less digits than its factorization.

201202011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754711 (or 754705 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201202011120 its reverse (21110202102), we get a palindrome (222312213222).

The spelling of 201202011120 in words is "two hundred one billion, two hundred two million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 101 110 120 132 165 176 202 220 240 264 303 330 404 440 505 528 606 660 808 880 1010 1111 1212 1320 1515 1616 2020 2222 2424 2640 3030 3333 4040 4444 4848 5555 6060 6666 8080 8888 11110 12120 13332 16665 17776 22220 24240 26664 33330 44440 53328 66660 88880 133320 266640 754583 1509166 2263749 3018332 3772915 4527498 6036664 7545830 8300413 9054996 11318745 12073328 15091660 16600826 18109992 22637490 24901239 30183320 33201652 36219984 41502065 45274980 49802478 60366640 66403304 76212883 83004130 90549960 99604956 124506195 132806608 152425766 166008260 181099920 199209912 228638649 249012390 304851532 332016520 381064415 398419824 457277298 498024780 609703064 664033040 762128830 838341713 914554596 996049560 1143193245 1219406128 1524257660 1676683426 1829109192 1992099120 2286386490 2515025139 3048515320 3353366852 3658218384 4191708565 4572772980 5030050278 6097030640 6706733704 8383417130 9145545960 10060100556 12575125695 13413467408 16766834260 18291091920 20120201112 25150251390 33533668520 40240402224 50300502780 67067337040 100601005560 201202011120