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1012198980 = 22351331411021
BaseRepresentation
bin111100010101001…
…110111001000100
32121112122000222010
4330111032321010
54033110331410
6244234534220
734040356302
oct7425167104
92545560863
101012198980
1147a3a6091
12242b97370
1313191b910
1498605272
155dce0c20
hex3c54ee44

1012198980 has 192 divisors, whose sum is σ = 3230631936. Its totient is φ = 235008000.

The previous prime is 1012198877. The next prime is 1012198991. The reversal of 1012198980 is 898912101.

1012198980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10121989802 = 2049093550226080800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 990870 + ... + 991890.

It is an arithmetic number, because the mean of its divisors is an integer number (16826208).

Almost surely, 21012198980 is an apocalyptic number.

1012198980 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 1012198980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615315968).

1012198980 is an abundant number, since it is smaller than the sum of its proper divisors (2218432956).

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

1012198980 is a wasteful number, since it uses less digits than its factorization.

1012198980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 39.

The square root of 1012198980 is about 31815.0747288137. The cubic root of 1012198980 is about 1004.0499028121.

The spelling of 1012198980 in words is "one billion, twelve million, one hundred ninety-eight thousand, nine hundred eighty".