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2114103552 = 283111913171
BaseRepresentation
bin111111000000010…
…1010100100000000
312110100001120212120
41332000222210000
513312202303202
6545440324240
7103250404131
oct17600524400
95410046776
102114103552
119953a1320
124b0013680
13278cb8462
14160abbc88
15c59010bc
hex7e02a900

2114103552 has 144 divisors (see below), whose sum is σ = 6461656320. Its totient is φ = 606873600.

The previous prime is 2114103547. The next prime is 2114103577. The reversal of 2114103552 is 2553014112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153927 + ... + 167097.

Almost surely, 22114103552 is an apocalyptic number.

2114103552 is a gapful number since it is divisible by the number (22) 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 2114103552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230828160).

2114103552 is an abundant number, since it is smaller than the sum of its proper divisors (4347552768).

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

2114103552 is a wasteful number, since it uses less digits than its factorization.

2114103552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13220 (or 13206 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2114103552 is about 45979.3818140262. The cubic root of 2114103552 is about 1283.4395512166.

Adding to 2114103552 its reverse (2553014112), we get a palindrome (4667117664).

The spelling of 2114103552 in words is "two billion, one hundred fourteen million, one hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 384 418 456 528 608 627 704 768 836 912 1056 1216 1254 1408 1672 1824 2112 2432 2508 2816 3344 3648 4224 4864 5016 6688 7296 8448 10032 13171 13376 14592 20064 26342 26752 39513 40128 52684 53504 79026 80256 105368 144881 158052 160512 210736 250249 289762 316104 421472 434643 500498 579524 632208 750747 842944 869286 1000996 1159048 1264416 1501494 1685888 1738572 2001992 2318096 2528832 2752739 3002988 3371776 3477144 4003984 4636192 5057664 5505478 6005976 6954288 8007968 8258217 9272384 10115328 11010956 12011952 13908576 16015936 16516434 18544768 22021912 24023904 27817152 32031872 33032868 37089536 44043824 48047808 55634304 64063744 66065736 88087648 96095616 111268608 132131472 176175296 192191232 264262944 352350592 528525888 704701184 1057051776 2114103552