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203001201972 = 223319791252259
BaseRepresentation
bin1011110100001111010…
…0001000010100110100
3201101222111120112122000
42331003310020110310
511311221301430342
6233131340135300
720444362513662
oct2750364102464
9641874515560
10203001201972
1179101982708
1233414837530
13161b203482a
149b7a91bc32
155431ba444c
hex2f43d08534

203001201972 has 96 divisors (see below), whose sum is σ = 561012480000. Its totient is φ = 63294128352.

The previous prime is 203001201967. The next prime is 203001201973. The reversal of 203001201972 is 279102100302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203001201973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464022 + ... + 788237.

It is an arithmetic number, because the mean of its divisors is an integer number (5843880000).

Almost surely, 2203001201972 is an apocalyptic number.

It is an amenable number.

203001201972 is an abundant number, since it is smaller than the sum of its proper divisors (358011278028).

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

203001201972 is a wasteful number, since it uses less digits than its factorization.

203001201972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252370 (or 1252362 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 203001201972 in words is "two hundred three billion, one million, two hundred one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 79 108 114 158 171 228 237 316 342 474 513 684 711 948 1026 1422 1501 2052 2133 2844 3002 4266 4503 6004 8532 9006 13509 18012 27018 40527 54036 81054 162108 1252259 2504518 3756777 5009036 7513554 11270331 15027108 22540662 23792921 33810993 45081324 47585842 67621986 71378763 95171684 98928461 135243972 142757526 197856922 214136289 285515052 296785383 395713844 428272578 593570766 642408867 856545156 890356149 1187141532 1284817734 1780712298 1879640759 2569635468 2671068447 3561424596 3759281518 5342136894 5638922277 7518563036 10684273788 11277844554 16916766831 22555689108 33833533662 50750300493 67667067324 101500600986 203001201972