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2101203104 = 257211139371
BaseRepresentation
bin111110100111101…
…1101000010100000
312102102210011210012
41331033131002200
513300401444404
6544300024052
7103032634400
oct17517350240
95372704705
102101203104
1198908aaa0
124a7832028
1327641c660
1415d0c0800
15c4703a6e
hex7d3dd0a0

2101203104 has 144 divisors (see below), whose sum is σ = 5654015136. Its totient is φ = 755596800.

The previous prime is 2101203067. The next prime is 2101203109. The reversal of 2101203104 is 4013021012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2101203109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219539 + ... + 228909.

It is an arithmetic number, because the mean of its divisors is an integer number (39263994).

Almost surely, 22101203104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827007568).

2101203104 is an abundant number, since it is smaller than the sum of its proper divisors (3552812032).

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

2101203104 is a wasteful number, since it uses less digits than its factorization.

2101203104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9419 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2101203104 is about 45838.8820107995. The cubic root of 2101203104 is about 1280.8236690810.

Adding to 2101203104 its reverse (4013021012), we get a palindrome (6114224116).

The spelling of 2101203104 in words is "two billion, one hundred one million, two hundred three thousand, one hundred four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 49 52 56 77 88 91 98 104 112 143 154 176 182 196 208 224 286 308 352 364 392 416 539 572 616 637 728 784 1001 1078 1144 1232 1274 1456 1568 2002 2156 2288 2464 2548 2912 4004 4312 4576 5096 7007 8008 8624 9371 10192 14014 16016 17248 18742 20384 28028 32032 37484 56056 65597 74968 103081 112112 121823 131194 149936 206162 224224 243646 262388 299872 412324 459179 487292 524776 721567 824648 852761 918358 974584 1049552 1340053 1443134 1649296 1705522 1836716 1949168 2099104 2680106 2886268 3298592 3411044 3673432 3898336 5050969 5360212 5772536 5969327 6822088 7346864 9380371 10101938 10720424 11545072 11938654 13644176 14693728 18760742 20203876 21440848 23090144 23877308 27288352 37521484 40407752 42881696 47754616 65662597 75042968 80815504 95509232 131325194 150085936 161631008 191018464 262650388 300171872 525300776 1050601552 2101203104