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202142202241203 = 32721276315719859
BaseRepresentation
bin101101111101100011100110…
…001010001010000010110011
3222111201121100122002020021200
4231331203212022022002303
5202443344212233204303
61553530502402022243
760402202133034300
oct5575434612120263
9874647318066250
10202142202241203
1159455032368724
121a80861a647983
1388a3c0a71ca33
1437cba403a40a7
1518582b129e3a3
hexb7d8e628a0b3

202142202241203 has 72 divisors (see below), whose sum is σ = 342870921768960. Its totient is φ = 114418666666080.

The previous prime is 202142202241151. The next prime is 202142202241237. The reversal of 202142202241203 is 302142202241202.

202142202241203 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 4 + 220 + 22 + 412 + 0 + 3 = 666.

202142202241203 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202142202241203 - 29 = 202142202240691 is a prime.

It is a super-2 number, since 2×2021422022412032 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202142202241703) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32480488 + ... + 38200346.

It is an arithmetic number, because the mean of its divisors is an integer number (4762096135680).

Almost surely, 2202142202241203 is an apocalyptic number.

202142202241203 is a deficient number, since it is larger than the sum of its proper divisors (140728719527757).

202142202241203 is a wasteful number, since it uses less digits than its factorization.

202142202241203 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5720637 (or 5720627 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 202142202241203 its reverse (302142202241202), we get a palindrome (504284404482405).

Subtracting 202142202241203 from its reverse (302142202241202), we obtain a palindrome (99999999999999).

The spelling of 202142202241203 in words is "two hundred two trillion, one hundred forty-two billion, two hundred two million, two hundred forty-one thousand, two hundred three".

Divisors: 1 3 7 9 21 49 63 127 147 381 441 631 889 1143 1893 2667 4417 5679 6223 8001 13251 18669 30919 39753 56007 80137 92757 240411 278271 560959 721233 1682877 3926713 5048631 5719859 11780139 17159577 35340417 40039013 51478731 120117039 280273091 360351117 726422093 840819273 2179266279 2522457819 3609231029 5084954651 6537798837 10827693087 15254863953 25264617203 32483079261 35594682557 45764591859 75793851609 106784047671 176852320421 227381554827 320352143013 458372340683 530556961263 1375117022049 1591670883789 3208606384781 4125351066147 9625819154343 22460244693467 28877457463029 67380734080401 202142202241203