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1230210100 = 2252717195441
BaseRepresentation
bin100100101010011…
…1000010000110100
310011201212011000001
41021110320100310
510004413210400
6322023401044
742325420240
oct11124702064
93151764001
101230210100
11581470069
122a3bb3184
13167b40c92
14b9555420
1573006a6a
hex49538434

1230210100 has 144 divisors (see below), whose sum is σ = 3401032320. Its totient is φ = 376012800.

The previous prime is 1230210097. The next prime is 1230210143. The reversal of 1230210100 is 10120321.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223380 + ... + 228820.

It is an arithmetic number, because the mean of its divisors is an integer number (23618280).

Almost surely, 21230210100 is an apocalyptic number.

1230210100 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 1230210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700516160).

1230210100 is an abundant number, since it is smaller than the sum of its proper divisors (2170822220).

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

1230210100 is a wasteful number, since it uses less digits than its factorization.

1230210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1230210100 is about 35074.3510274959. The cubic root of 1230210100 is about 1071.5022715864.

Adding to 1230210100 its reverse (10120321), we get a palindrome (1240330421).

The spelling of 1230210100 in words is "one billion, two hundred thirty million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 19 20 25 28 34 35 38 50 68 70 76 85 95 100 119 133 140 170 175 190 238 266 323 340 350 380 425 475 476 532 595 646 665 700 850 950 1190 1292 1330 1615 1700 1900 2261 2380 2660 2975 3230 3325 4522 5441 5950 6460 6650 8075 9044 10882 11305 11900 13300 16150 21764 22610 27205 32300 38087 45220 54410 56525 76174 92497 103379 108820 113050 136025 152348 184994 190435 206758 226100 272050 369988 380870 413516 462485 516895 544100 647479 723653 761740 924970 952175 1033790 1294958 1447306 1757443 1849940 1904350 2067580 2312425 2584475 2589916 2894612 3237395 3514886 3618265 3808700 4624850 5168950 6474790 7029772 7236530 8787215 9249700 10337900 12302101 12949580 14473060 16186975 17574430 18091325 24604202 32373950 35148860 36182650 43936075 49208404 61510505 64747900 72365300 87872150 123021010 175744300 246042020 307552525 615105050 1230210100