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1021329953076 = 2232923926346691
BaseRepresentation
bin11101101110011000000…
…00100101000100110100
310121122020020111022101010
432313030000211010310
5113213140431444301
62101105325232220
7133534336235106
oct16671400450464
93548206438333
101021329953076
11364164150394
12145b35402670
1375407367c54
143760b209576
151b87913c5d6
hexedcc025134

1021329953076 has 96 divisors (see below), whose sum is σ = 2485060300800. Its totient is φ = 326076983680.

The previous prime is 1021329953009. The next prime is 1021329953099. The reversal of 1021329953076 is 6703599231201.

It is a super-2 number, since 2×10213299530762 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21850891 + ... + 21897581.

It is an arithmetic number, because the mean of its divisors is an integer number (25886044800).

Almost surely, 21021329953076 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 1021329953076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242530150400).

1021329953076 is an abundant number, since it is smaller than the sum of its proper divisors (1463730347724).

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

1021329953076 is a wasteful number, since it uses less digits than its factorization.

1021329953076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47229 (or 47227 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 1021329953076 in words is "one trillion, twenty-one billion, three hundred twenty-nine million, nine hundred fifty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 239 263 348 478 526 717 789 956 1052 1434 1578 2868 3156 6931 7627 13862 15254 20793 22881 27724 30508 41586 45762 46691 62857 83172 91524 93382 125714 140073 186764 188571 251428 280146 377142 560292 754284 1354039 1822853 2708078 3645706 4062117 5416156 5468559 7291412 8124234 10937118 11159149 12279733 16248468 21874236 22318298 24559466 33477447 36839199 44636596 49118932 66954894 73678398 133909788 147356796 323615321 356112257 647230642 712224514 970845963 1068336771 1294461284 1424449028 1941691926 2136673542 2934856187 3883383852 4273347084 5869712374 8804568561 11739424748 17609137122 35218274244 85110829423 170221658846 255332488269 340443317692 510664976538 1021329953076