Search a number
-
+
2100212310112 = 25771619213337
BaseRepresentation
bin11110100011111110011…
…010001010000001100000
321102210000101222122221021
4132203332122022001200
5233402213322410422
64244454010335224
7304510135041340
oct36437632120140
97383011878837
102100212310112
1173a771107694
1229b050a2a514
1312308404b2a7
1473917bb8d20
1539970ba3dc7
hex1e8fe68a060

2100212310112 has 96 divisors (see below), whose sum is σ = 4799797793280. Its totient is φ = 885975874560.

The previous prime is 2100212310071. The next prime is 2100212310151. The reversal of 2100212310112 is 2110132120012.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 9737908 + ... + 9951244.

It is an arithmetic number, because the mean of its divisors is an integer number (49997893680).

Almost surely, 22100212310112 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 2100212310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399898896640).

2100212310112 is an abundant number, since it is smaller than the sum of its proper divisors (2699585483168).

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

2100212310112 is a wasteful number, since it uses less digits than its factorization.

2100212310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214044 (or 214036 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2100212310112 its reverse (2110132120012), we get a palindrome (4210344430124).

The spelling of 2100212310112 in words is "two trillion, one hundred billion, two hundred twelve million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 619 994 1136 1238 1988 2272 2476 3976 4333 4952 7952 8666 9904 15904 17332 19808 34664 43949 69328 87898 138656 175796 213337 307643 351592 426674 615286 703184 853348 1230572 1406368 1493359 1706696 2461144 2986718 3413392 4922288 5973436 6826784 9844576 11946872 15146927 23893744 30293854 47787488 60587708 106028489 121175416 132055603 212056978 242350832 264111206 424113956 484701664 528222412 848227912 924389221 1056444824 1696455824 1848778442 2112889648 3392911648 3697556884 4225779296 7395113768 9375947813 14790227536 18751895626 29580455072 37503791252 65631634691 75007582504 131263269382 150015165008 262526538764 300030330016 525053077528 1050106155056 2100212310112