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1012321332320 = 25579743107791
BaseRepresentation
bin11101011101100110000…
…11011010110001100000
310120202222102011221220112
432232303003122301200
5113041213230113240
62053015355230452
7133065160230464
oct16566303326140
93522872157815
101012321332320
11360361001271
12144240448428
13745ccb89b1c
1436dd49cc4a4
151b4ed30b665
hexebb30dac60

1012321332320 has 96 divisors (see below), whose sum is σ = 2425164779520. Its totient is φ = 399261058560.

The previous prime is 1012321332289. The next prime is 1012321332343. The reversal of 1012321332320 is 232331232101.

1012321332320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9337625 + ... + 9445415.

It is an arithmetic number, because the mean of its divisors is an integer number (25262133120).

Almost surely, 21012321332320 is an apocalyptic number.

1012321332320 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 1012321332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212582389760).

1012321332320 is an abundant number, since it is smaller than the sum of its proper divisors (1412843447200).

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

1012321332320 is a wasteful number, since it uses less digits than its factorization.

1012321332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108628 (or 108620 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1012321332320 its reverse (232331232101), we get a palindrome (1244652564421).

The spelling of 1012321332320 in words is "one trillion, twelve billion, three hundred twenty-one million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 743 790 1264 1486 1580 2528 2972 3160 3715 5944 6320 7430 11888 12640 14860 23776 29720 58697 59440 107791 117394 118880 215582 234788 293485 431164 469576 538955 586970 862328 939152 1077910 1173940 1724656 1878304 2155820 2347880 3449312 4311640 4695760 8515489 8623280 9391520 17030978 17246560 34061956 42577445 68123912 80088713 85154890 136247824 160177426 170309780 272495648 320354852 340619560 400443565 640709704 681239120 800887130 1281419408 1362478240 1601774260 2562838816 3203548520 6327008327 6407097040 12654016654 12814194080 25308033308 31635041635 50616066616 63270083270 101232133232 126540166540 202464266464 253080333080 506160666160 1012321332320