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13102244040 = 233527721423
BaseRepresentation
bin11000011001111010…
…00110000011001000
31020211010011221220210
430030331012003020
5203313133302130
610004042321120
7642454144134
oct141475060310
936733157823
1013102244040
115613969966
122657ab91a0
13130a61ca32
148c41823c4
1551a3eb5b0
hex30cf460c8

13102244040 has 96 divisors (see below), whose sum is σ = 39476868480. Its totient is φ = 3478871808.

The previous prime is 13102244039. The next prime is 13102244123. The reversal of 13102244040 is 4044220131.

It is a junction number, because it is equal to n+sod(n) for n = 13102243998 and 13102244016.

It is a congruent number.

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, 9206769 + ... + 9208191.

It is an arithmetic number, because the mean of its divisors is an integer number (411217380).

Almost surely, 213102244040 is an apocalyptic number.

13102244040 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 13102244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19738434240).

13102244040 is an abundant number, since it is smaller than the sum of its proper divisors (26374624440).

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

13102244040 is a wasteful number, since it uses less digits than its factorization.

13102244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 13102244040 its reverse (4044220131), we get a palindrome (17146464171).

The spelling of 13102244040 in words is "thirteen billion, one hundred two million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277 554 831 1108 1385 1423 1662 2216 2770 2846 3324 4155 4269 5540 5692 6648 7115 8310 8538 11080 11384 14230 16620 17076 21345 28460 33240 34152 42690 56920 76729 85380 153458 170760 230187 306916 383645 394171 460374 613832 767290 788342 920748 1150935 1182513 1534580 1576684 1841496 1970855 2301870 2365026 3069160 3153368 3941710 4603740 4730052 5912565 7883420 9207480 9460104 11825130 15766840 23650260 47300520 109185367 218370734 327556101 436741468 545926835 655112202 873482936 1091853670 1310224404 1637780505 2183707340 2620448808 3275561010 4367414680 6551122020 13102244040