Search a number
-
+
10203011000 = 2353713112121
BaseRepresentation
bin10011000000010010…
…11001011110111000
3222100001202122212022
421200021121132320
5131343432323000
64404233534012
7510561106520
oct114011313670
928301678768
1010203011000
1143663741a6
121b88b74308
13c67a8a120
146cb0ca680
153eab0e585
hex2602597b8

10203011000 has 128 divisors (see below), whose sum is σ = 29384933760. Its totient is φ = 3229056000.

The previous prime is 10203010999. The next prime is 10203011003. The reversal of 10203011000 is 11030201.

It is a super-2 number, since 2×102030110002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203011003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34940 + ... + 147060.

It is an arithmetic number, because the mean of its divisors is an integer number (229569795).

Almost surely, 210203011000 is an apocalyptic number.

10203011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10203011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14692466880).

10203011000 is an abundant number, since it is smaller than the sum of its proper divisors (19181922760).

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

10203011000 is a wasteful number, since it uses less digits than its factorization.

10203011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112162 (or 112148 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10203011000 its reverse (11030201), we get a palindrome (10214041201).

The spelling of 10203011000 in words is "ten billion, two hundred three million, eleven thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 45500 91000 112121 224242 448484 560605 784847 896968 1121210 1457573 1569694 2242420 2803025 2915146 3139388 3924235 4484840 5606050 5830292 6278776 7287865 7848470 10203011 11212100 11660584 14015125 14575730 15696940 19621175 20406022 22424200 28030250 29151460 31393880 36439325 39242350 40812044 51015055 56060500 58302920 72878650 78484700 81624088 98105875 102030110 112121000 145757300 156969400 182196625 196211750 204060220 255075275 291514600 364393250 392423500 408120440 510150550 728786500 784847000 1020301100 1275376375 1457573000 2040602200 2550752750 5101505500 10203011000