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2342144133100 = 2252173328941387
BaseRepresentation
bin100010000101010010101…
…010110100011111101100
322021220111001101122212201
4202011102222310133230
5301333202344224400
64551544405111244
7331133341436212
oct42052252643754
98256431348781
102342144133100
11823330338052
12319b0b3b8524
1313cb2b716235
1481508c56cb2
1540dd050706a
hex22152ab47ec

2342144133100 has 72 divisors (see below), whose sum is σ = 5381712267120. Its totient is φ = 881700587520.

The previous prime is 2342144133097. The next prime is 2342144133139. The reversal of 2342144133100 is 13314412432.

It is a happy number.

It is a super-2 number, since 2×23421441331002 (a number of 26 digits) contains 22 as substring.

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, 56570607 + ... + 56611993.

It is an arithmetic number, because the mean of its divisors is an integer number (74746003710).

Almost surely, 22342144133100 is an apocalyptic number.

2342144133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342144133100 is an abundant number, since it is smaller than the sum of its proper divisors (3039568134020).

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

2342144133100 is a wasteful number, since it uses less digits than its factorization.

2342144133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74707 (or 74700 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2342144133100 its reverse (13314412432), we get a palindrome (2355458545532).

The spelling of 2342144133100 in words is "two trillion, three hundred forty-two billion, one hundred forty-four million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 33289 41387 66578 82774 133156 165548 166445 206935 332890 413870 565913 665780 703579 827740 832225 1034675 1131826 1407158 1664450 2069350 2263652 2814316 2829565 3328900 3517895 4138700 5659130 7035790 11318260 14071580 14147825 17589475 28295650 35178950 56591300 70357900 1377731843 2755463686 5510927372 6888659215 13777318430 23421441331 27554636860 34443296075 46842882662 68886592150 93685765324 117107206655 137773184300 234214413310 468428826620 585536033275 1171072066550 2342144133100