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103214421312 = 2633319161969
BaseRepresentation
bin110000000100000001…
…1110001010101000000
3100212102012010212022220
41200020003301111000
53142340342440222
6115225511131040
710312515051132
oct1401003612500
9325365125286
10103214421312
113a855939442
1218006373a80
13996b75a3a2
144dd1d21052
152a41535b5c
hex18080f1540

103214421312 has 56 divisors (see below), whose sum is σ = 273172123200. Its totient is φ = 34394228736.

The previous prime is 103214421293. The next prime is 103214421413. The reversal of 103214421312 is 213124412301.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 556264 + ... + 718232.

Almost surely, 2103214421312 is an apocalyptic number.

103214421312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103214421312 is an abundant number, since it is smaller than the sum of its proper divisors (169957701888).

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

103214421312 is a wasteful number, since it uses less digits than its factorization.

103214421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165303 (or 165293 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103214421312 its reverse (213124412301), we get a palindrome (316338833613).

The spelling of 103214421312 in words is "one hundred three billion, two hundred fourteen million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 3319 6638 9957 13276 19914 26552 39828 53104 79656 106208 159312 161969 212416 318624 323938 485907 637248 647876 971814 1295752 1943628 2591504 3887256 5183008 7774512 10366016 15549024 31098048 537575111 1075150222 1612725333 2150300444 3225450666 4300600888 6450901332 8601201776 12901802664 17202403552 25803605328 34404807104 51607210656 103214421312