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201203044420 = 22572796913761
BaseRepresentation
bin1011101101100010100…
…0101101000001000100
3201020100012000200012011
42323120220231001010
511244030434410140
6232233103304004
720351666442100
oct2733050550104
9636305020164
10201203044420
1178369967294
1232bb25ab004
1315c8663b291
149a49ba4900
155378db1cea
hex2ed8a2d044

201203044420 has 144 divisors (see below), whose sum is σ = 498584782080. Its totient is φ = 67994035200.

The previous prime is 201203044411. The next prime is 201203044513. The reversal of 201203044420 is 24440302102.

It is a happy number.

It is a super-3 number, since 3×2012030444203 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201203044391 and 201203044400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53495340 + ... + 53499100.

It is an arithmetic number, because the mean of its divisors is an integer number (3462394320).

Almost surely, 2201203044420 is an apocalyptic number.

201203044420 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 201203044420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249292391040).

201203044420 is an abundant number, since it is smaller than the sum of its proper divisors (297381737660).

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

201203044420 is a wasteful number, since it uses less digits than its factorization.

201203044420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 201203044420 its reverse (24440302102), we get a palindrome (225643346522).

The spelling of 201203044420 in words is "two hundred one billion, two hundred three million, forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 79 98 140 158 196 245 316 395 490 553 691 790 980 1106 1382 1580 2212 2764 2765 3455 3761 3871 4837 5530 6910 7522 7742 9674 11060 13820 15044 15484 18805 19348 19355 24185 26327 33859 37610 38710 48370 52654 54589 67718 75220 77420 96740 105308 109178 131635 135436 169295 184289 218356 263270 272945 297119 338590 368578 382123 526540 545890 594238 677180 737156 764246 921445 1091780 1188476 1485595 1528492 1842890 1910615 2079833 2598851 2674861 2971190 3685780 3821230 4159666 5197702 5349722 5942380 7642460 8319332 10395404 10399165 10699444 12994255 13374305 14558831 18191957 20798330 25988510 26748610 29117662 36383914 41596660 51977020 53497220 58235324 72767828 72794155 90959785 127343699 145588310 181919570 205309229 254687398 291176620 363839140 410618458 509374796 636718495 821236916 1026546145 1273436990 1437164603 2053092290 2546873980 2874329206 4106184580 5748658412 7185823015 10060152221 14371646030 20120304442 28743292060 40240608884 50300761105 100601522210 201203044420