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2100023010 = 2375131733
BaseRepresentation
bin111110100101011…
…1100111011100010
312102100120020000000
41331022330323202
513300101214020
6544214440430
7103016621031
oct17512747342
95370506000
102100023010
11988454408
124a7363116
132760c8487
1415cc94718
15c456e090
hex7d2bcee2

2100023010 has 128 divisors (see below), whose sum is σ = 5720267520. Its totient is φ = 554973120.

The previous prime is 2100022999. The next prime is 2100023021. The reversal of 2100023010 is 103200012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2100022999) and next prime (2100023021).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100022983 and 2100023001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2864604 + ... + 2865336.

It is an arithmetic number, because the mean of its divisors is an integer number (44689590).

Almost surely, 22100023010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100023010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860133760).

2100023010 is an abundant number, since it is smaller than the sum of its proper divisors (3620244510).

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

2100023010 is an equidigital number, since it uses as much as digits as its factorization.

2100023010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2100023010 is about 45826.0080085534. The cubic root of 2100023010 is about 1280.5838421334.

Adding to 2100023010 its reverse (103200012), we get a palindrome (2203223022).

The spelling of 2100023010 in words is "two billion, one hundred million, twenty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 131 135 162 243 262 270 393 405 486 655 729 733 786 810 1179 1215 1310 1458 1466 1965 2187 2199 2358 2430 3537 3645 3665 3930 4374 4398 5895 6597 7074 7290 7330 10611 10935 10995 11790 13194 17685 19791 21222 21870 21990 31833 32985 35370 39582 53055 59373 63666 65970 95499 96023 98955 106110 118746 159165 178119 190998 192046 197910 286497 288069 296865 318330 356238 477495 480115 534357 572994 576138 593730 864207 890595 954990 960230 1068714 1432485 1440345 1603071 1728414 1781190 2592621 2671785 2864970 2880690 3206142 4321035 5185242 5343570 7777863 8015355 8642070 12963105 15555726 16030710 23333589 25926210 38889315 46667178 70000767 77778630 116667945 140001534 210002301 233335890 350003835 420004602 700007670 1050011505 2100023010