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103321166432 = 25111943443811
BaseRepresentation
bin110000000111001101…
…0111110001001100000
3100212200122000002002212
41200032122332021200
53143100204311212
6115244243101252
710315252265321
oct1401632761140
9325618002085
10103321166432
113a900117650
1218036071828
1399878c3093
14500218a448
152a4aabde22
hex180e6be260

103321166432 has 192 divisors, whose sum is σ = 239852067840. Its totient is φ = 43306099200.

The previous prime is 103321166419. The next prime is 103321166461. The reversal of 103321166432 is 234661123301.

It is a super-2 number, since 2×1033211664322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127399307 + ... + 127400117.

It is an arithmetic number, because the mean of its divisors is an integer number (1249229520).

Almost surely, 2103321166432 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 103321166432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119926033920).

103321166432 is an abundant number, since it is smaller than the sum of its proper divisors (136530901408).

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

103321166432 is a wasteful number, since it uses less digits than its factorization.

103321166432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 103321166432 its reverse (234661123301), we get a palindrome (337982289733).

The spelling of 103321166432 in words is "one hundred three billion, three hundred twenty-one million, one hundred sixty-six thousand, four hundred thirty-two".