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202142440230030 = 23259127246086021
BaseRepresentation
bin101101111101100011110100…
…010110000000110010001110
3222111201121222012220022120200
4231331203310112000302032
5202443400204144330110
61553530542142554330
760402211052642256
oct5575436426006216
9874647865808520
10202142440230030
1159455144738203
121a8086862989a6
1388a3c47b18321
1437cba63c34966
1518582c710e6c0
hexb7d8f4580c8e

202142440230030 has 48 divisors (see below), whose sum is σ = 525627930862944. Its totient is φ = 53898744444480.

The previous prime is 202142440229987. The next prime is 202142440230091. The reversal of 202142440230030 is 30032044241202.

202142440230030 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 424 + 4 + 0 + 230 + 0 + 3 + 0 = 666.

202142440230030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2021424402300302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202142440229976 and 202142440230003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122221581 + ... + 123864440.

It is an arithmetic number, because the mean of its divisors is an integer number (10950581892978).

Almost surely, 2202142440230030 is an apocalyptic number.

202142440230030 is an abundant number, since it is smaller than the sum of its proper divisors (323485490632914).

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

202142440230030 is a wasteful number, since it uses less digits than its factorization.

202142440230030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246095161 (or 246095158 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 202142440230030 its reverse (30032044241202), we get a palindrome (232174484471232).

The spelling of 202142440230030 in words is "two hundred two trillion, one hundred forty-two billion, four hundred forty million, two hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 9127 18254 27381 45635 54762 82143 91270 136905 164286 273810 410715 821430 246086021 492172042 738258063 1230430105 1476516126 2214774189 2460860210 3691290315 4429548378 7382580630 11073870945 22147741890 2246027113667 4492054227334 6738081341001 11230135568335 13476162682002 20214244023003 22460271136670 33690406705005 40428488046006 67380813410010 101071220115015 202142440230030