Search a number
-
+
10120202233000 = 235319352436281
BaseRepresentation
bin1001001101000100101100…
…0011110010010010101000
31022211111000021221100211221
42103101023003302102220
52311302133232424000
633305053504031424
72063106021434266
oct223211303622250
938744007840757
1010120202233000
113251a54366852
121175443302574
1358543c1cc392
1426db6b279436
151283b2a4461a
hex9344b0f24a8

10120202233000 has 64 divisors (see below), whose sum is σ = 23803974576720. Its totient is φ = 4027106304000.

The previous prime is 10120202232971. The next prime is 10120202233039. The reversal of 10120202233000 is 33220202101.

It can be written as a sum of positive squares in 8 ways, for example, as 241338352644 + 9878863880356 = 491262^2 + 3143066^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26025141 + ... + 26411140.

Almost surely, 210120202233000 is an apocalyptic number.

10120202233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120202233000 is an abundant number, since it is smaller than the sum of its proper divisors (13683772343720).

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

10120202233000 is a wasteful number, since it uses less digits than its factorization.

10120202233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52436495 (or 52436481 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10120202233000 its reverse (33220202101), we get a palindrome (10153422435101).

The spelling of 10120202233000 in words is "ten trillion, one hundred twenty billion, two hundred two million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 193 200 250 386 500 772 965 1000 1544 1930 3860 4825 7720 9650 19300 24125 38600 48250 96500 193000 52436281 104872562 209745124 262181405 419490248 524362810 1048725620 1310907025 2097451240 2621814050 5243628100 6554535125 10120202233 10487256200 13109070250 20240404466 26218140500 40480808932 50601011165 52436281000 80961617864 101202022330 202404044660 253005055825 404808089320 506010111650 1012020223300 1265025279125 2024040446600 2530050558250 5060101116500 10120202233000