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2101207900 = 22521131431433
BaseRepresentation
bin111110100111101…
…1110001101011100
312102102210102100211
41331033132031130
513300402123100
6544300102204
7103032654361
oct17517361534
95372712324
102101207900
11989093660
124a7834964
132764218ac
1415d0c2468
15c47051ba
hex7d3de35c

2101207900 has 144 divisors (see below), whose sum is σ = 5257663488. Its totient is φ = 721728000.

The previous prime is 2101207877. The next prime is 2101207907. The reversal of 2101207900 is 97021012.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101207907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1465584 + ... + 1467016.

It is an arithmetic number, because the mean of its divisors is an integer number (36511552).

Almost surely, 22101207900 is an apocalyptic number.

2101207900 is a gapful number since it is divisible by the number (20) 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 2101207900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628831744).

2101207900 is an abundant number, since it is smaller than the sum of its proper divisors (3156455588).

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

2101207900 is a wasteful number, since it uses less digits than its factorization.

2101207900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 2101207900 is about 45838.9343244365. The cubic root of 2101207900 is about 1280.8246435744.

Adding to 2101207900 its reverse (97021012), we get a palindrome (2198228912).

The spelling of 2101207900 in words is "two billion, one hundred one million, two hundred seven thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 43 44 50 55 62 86 100 110 124 155 172 215 220 275 310 341 430 473 550 620 682 775 860 946 1075 1100 1333 1364 1433 1550 1705 1892 2150 2365 2666 2866 3100 3410 4300 4730 5332 5732 6665 6820 7165 8525 9460 11825 13330 14330 14663 15763 17050 23650 26660 28660 29326 31526 33325 34100 35825 44423 47300 58652 61619 63052 66650 71650 73315 78815 88846 123238 133300 143300 146630 157630 177692 222115 246476 293260 308095 315260 366575 394075 444230 488653 616190 677809 733150 788150 888460 977306 1110575 1232380 1355618 1466300 1540475 1576300 1910189 1954612 2221150 2443265 2711236 3080950 3389045 3820378 4442300 4886530 6161900 6778090 7640756 9550945 9773060 12216325 13556180 16945225 19101890 21012079 24432650 33890450 38203780 42024158 47754725 48865300 67780900 84048316 95509450 105060395 191018900 210120790 420241580 525301975 1050603950 2101207900