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103320211332 = 2231329227100609
BaseRepresentation
bin110000000111001011…
…1010100111110000100
3100212200120012112221210
41200032113110332010
53143044433230312
6115244210411420
710315241206632
oct1401627247604
9325616175853
10103320211332
113a8aa625008
1218035890b70
13998764a430
145001dbc352
152a4a980e3c
hex180e5d4f84

103320211332 has 96 divisors (see below), whose sum is σ = 269763580800. Its totient is φ = 30559076352.

The previous prime is 103320211261. The next prime is 103320211349. The reversal of 103320211332 is 233112023301.

It is a junction number, because it is equal to n+sod(n) for n = 103320211299 and 103320211308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976644 + ... + 1077252.

It is an arithmetic number, because the mean of its divisors is an integer number (2810037300).

Almost surely, 2103320211332 is an apocalyptic number.

103320211332 is a gapful number since it is divisible by the number (12) 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 103320211332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134881790400).

103320211332 is an abundant number, since it is smaller than the sum of its proper divisors (166443369468).

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

103320211332 is a wasteful number, since it uses less digits than its factorization.

103320211332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100885 (or 100883 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103320211332 its reverse (233112023301), we get a palindrome (336432234633).

The spelling of 103320211332 in words is "one hundred three billion, three hundred twenty million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 227 348 377 454 681 754 908 1131 1362 1508 2262 2724 2951 4524 5902 6583 8853 11804 13166 17706 19749 26332 35412 39498 78996 85579 100609 171158 201218 256737 301827 342316 402436 513474 603654 1026948 1207308 1307917 2615834 2917661 3923751 5231668 5835322 7847502 8752983 11670644 15695004 17505966 22838243 35011932 37929593 45676486 68514729 75859186 91352972 113788779 137029458 151718372 227577558 274058916 296897159 455155116 593794318 662309047 890691477 1187588636 1324618094 1781382954 1986927141 2649236188 3562765908 3973854282 7947708564 8610017611 17220035222 25830052833 34440070444 51660105666 103320211332