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2100367136 = 257172831949
BaseRepresentation
bin111110100110001…
…0000111100100000
312102101012201001102
41331030100330200
513300143222021
6544230053532
7103022553230
oct17514207440
95371181042
102100367136
11988669a0a
124a74aa2a8
132761b8cba
1415cd43cc0
15c45db00b
hex7d310f20

2100367136 has 96 divisors (see below), whose sum is σ = 5024073600. Its totient is φ = 843780096.

The previous prime is 2100367109. The next prime is 2100367151. The reversal of 2100367136 is 6317630012.

It is a junction number, because it is equal to n+sod(n) for n = 2100367099 and 2100367108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1076690 + ... + 1078638.

It is an arithmetic number, because the mean of its divisors is an integer number (52334100).

Almost surely, 22100367136 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 2100367136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512036800).

2100367136 is an abundant number, since it is smaller than the sum of its proper divisors (2923706464).

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

2100367136 is a wasteful number, since it uses less digits than its factorization.

2100367136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 2100367136 is about 45829.7625566618. The cubic root of 2100367136 is about 1280.6537871013.

Adding to 2100367136 its reverse (6317630012), we get a palindrome (8417997148).

The spelling of 2100367136 in words is "two billion, one hundred million, three hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 283 476 544 566 952 1132 1904 1949 1981 2264 3808 3898 3962 4528 4811 7796 7924 9056 9622 13643 15592 15848 19244 27286 31184 31696 33133 33677 38488 54572 62368 63392 66266 67354 76976 109144 132532 134708 153952 218288 231931 265064 269416 436576 463862 530128 538832 551567 927724 1060256 1077664 1103134 1855448 2206268 3710896 3860969 4412536 7421792 7721938 8825072 9376639 15443876 17650144 18753278 30887752 37506556 61775504 65636473 75013112 123551008 131272946 150026224 262545892 300052448 525091784 1050183568 2100367136