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1012012211020 = 2251719442335419
BaseRepresentation
bin11101011101000001010…
…00001101101101001100
310120202011212111222012111
432232200220031231030
5113040100111223040
62052524553513404
7133054414601266
oct16564050155514
93522155458174
101012012211020
11360212567918
12144174a12864
1374580b17405
1436da5922b36
151b4d10e9dea
hexeba0a0db4c

1012012211020 has 96 divisors (see below), whose sum is σ = 2369274969600. Its totient is φ = 360848784384.

The previous prime is 1012012210987. The next prime is 1012012211027. The reversal of 1012012211020 is 201122102101.

It is not an unprimeable number, because it can be changed into a prime (1012012211027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28554871 + ... + 28590289.

It is an arithmetic number, because the mean of its divisors is an integer number (24679947600).

Almost surely, 21012012211020 is an apocalyptic number.

1012012211020 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 1012012211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184637484800).

1012012211020 is an abundant number, since it is smaller than the sum of its proper divisors (1357262758580).

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

1012012211020 is a wasteful number, since it uses less digits than its factorization.

1012012211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39887 (or 39885 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1012012211020 its reverse (201122102101), we get a palindrome (1213134313121).

The spelling of 1012012211020 in words is "one trillion, twelve billion, twelve million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 3230 4423 6460 8846 17692 22115 35419 44230 70838 75191 84037 88460 141676 150382 168074 177095 300764 336148 354190 375955 420185 602123 672961 708380 751910 840370 1204246 1345922 1428629 1503820 1680740 2408492 2691844 2857258 3010615 3364805 5714516 6021230 6729610 7143145 11440337 12042460 13459220 14286290 22880674 28572580 45761348 57201685 114403370 156658237 228806740 313316474 626632948 783291185 1566582370 2663190029 2976506503 3133164740 5326380058 5953013006 10652760116 11906026012 13315950145 14882532515 26631900290 29765065030 50600610551 53263800580 59530130060 101201221102 202402442204 253003052755 506006105510 1012012211020