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103323121132 = 22711234787887
BaseRepresentation
bin110000000111010001…
…0011011010111101100
3100212200202200101110011
41200032202123113230
53143101204334012
6115244353023004
710315305016210
oct1401642332754
9325622611404
10103323121132
113a901232200
1218036854a64
1399881289ca
145002538940
152a4ad581a7
hex180e89b5ec

103323121132 has 72 divisors (see below), whose sum is σ = 227797258752. Its totient is φ = 40139293920.

The previous prime is 103323121129. The next prime is 103323121189. The reversal of 103323121132 is 231121323301.

It is a super-2 number, since 2×1033231211322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1131693 + ... + 1219579.

It is an arithmetic number, because the mean of its divisors is an integer number (3163850816).

Almost surely, 2103323121132 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 103323121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113898629376).

103323121132 is an abundant number, since it is smaller than the sum of its proper divisors (124474137620).

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

103323121132 is a wasteful number, since it uses less digits than its factorization.

103323121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88267 (or 88254 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 103323121132 its reverse (231121323301), we get a palindrome (334444444433).

The spelling of 103323121132 in words is "one hundred three billion, three hundred twenty-three million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 347 484 694 847 1388 1694 2429 3388 3817 4858 7634 9716 15268 26719 41987 53438 83974 87887 106876 167948 175774 293909 351548 587818 615209 966757 1175636 1230418 1933514 2460836 3867028 6767299 10634327 13534598 21268654 27069196 30496789 42537308 60993578 74440289 121987156 148880578 213477523 297761156 335464679 426955046 670929358 853910092 1341858716 2348252753 3690111469 4696505506 7380222938 9393011012 14760445876 25830780283 51661560566 103323121132