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1002123340 = 2252314914621
BaseRepresentation
bin111011101110110…
…011000001001100
32120211200010210021
4323232303001030
54023020421330
6243234551524
733555623251
oct7356630114
92524603707
101002123340
11474744109
1223b7385a4
1312c8017ba
1497141428
155cea067a
hex3bbb304c

1002123340 has 48 divisors (see below), whose sum is σ = 2210846400. Its totient is φ = 380821760.

The previous prime is 1002123277. The next prime is 1002123349. The reversal of 1002123340 is 433212001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1002123349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61230 + ... + 75850.

It is an arithmetic number, because the mean of its divisors is an integer number (46059300).

Almost surely, 21002123340 is an apocalyptic number.

1002123340 is a gapful number since it is divisible by the number (10) 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 1002123340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105423200).

1002123340 is an abundant number, since it is smaller than the sum of its proper divisors (1208723060).

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

1002123340 is a wasteful number, since it uses less digits than its factorization.

1002123340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14802 (or 14800 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1002123340 is about 31656.3317521156. The cubic root of 1002123340 is about 1000.7072796376.

Adding to 1002123340 its reverse (433212001), we get a palindrome (1435335341).

The spelling of 1002123340 in words is "one billion, two million, one hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 149 230 298 460 596 745 1490 2980 3427 6854 13708 14621 17135 29242 34270 58484 68540 73105 146210 292420 336283 672566 1345132 1681415 2178529 3362830 4357058 6725660 8714116 10892645 21785290 43570580 50106167 100212334 200424668 250530835 501061670 1002123340