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1012003122032 = 247131547912589
BaseRepresentation
bin11101011101000000001…
…01100010101101110000
310120202011020102012110022
432232200011202231300
5113040040244401112
62052524031023012
7133054244414630
oct16564005425560
93522136365408
101012003122032
1136020841a161
1214417196aa68
137457bc84406
1436da46386c0
151b4d0401d72
hexeba0162b70

1012003122032 has 80 divisors (see below), whose sum is σ = 2258561395200. Its totient is φ = 430292079360.

The previous prime is 1012003122023. The next prime is 1012003122041. The reversal of 1012003122032 is 2302213002101.

It is an interprime number because it is at equal distance from previous prime (1012003122023) and next prime (1012003122041).

It is a self number, because there is not a number n which added to its sum of digits gives 1012003122032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80381594 + ... + 80394182.

It is an arithmetic number, because the mean of its divisors is an integer number (28232017440).

Almost surely, 21012003122032 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 1012003122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129280697600).

1012003122032 is an abundant number, since it is smaller than the sum of its proper divisors (1246558273168).

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

1012003122032 is a wasteful number, since it uses less digits than its factorization.

1012003122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18214 (or 18208 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1012003122032 its reverse (2302213002101), we get a palindrome (3314216124133).

The spelling of 1012003122032 in words is "one trillion, twelve billion, three million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 524 917 1048 1834 2096 3668 5479 7336 10958 12589 14672 21916 25178 38353 43832 50356 76706 87664 88123 100712 153412 176246 201424 306824 352492 613648 704984 717749 1409968 1435498 1649159 2870996 3298318 5024243 5741992 6596636 10048486 11483984 11544113 13193272 20096972 23088226 26386544 40193944 46176452 68975131 80387888 92352904 137950262 184705808 275900524 482825917 551801048 965651834 1103602096 1931303668 3862607336 7725214672 9035742161 18071484322 36142968644 63250195127 72285937288 126500390254 144571874576 253000780508 506001561016 1012003122032