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1010022121212 = 2231361829128033
BaseRepresentation
bin11101011001010100000…
…00100111111011111100
310120120001011210221012120
432230222000213323330
5113022011130334322
62051555303202540
7132654201243216
oct16545200477374
93516034727176
101010022121212
1135a3911799a5
121438ba446450
137432472ca90
1436c574c75b6
151b416543a5c
hexeb2a027efc

1010022121212 has 96 divisors (see below), whose sum is σ = 2582742818880. Its totient is φ = 305310228480.

The previous prime is 1010022121193. The next prime is 1010022121223. The reversal of 1010022121212 is 2121212200101.

It is a junction number, because it is equal to n+sod(n) for n = 1010022121191 and 1010022121200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7824748 + ... + 7952780.

It is an arithmetic number, because the mean of its divisors is an integer number (26903571030).

Almost surely, 21010022121212 is an apocalyptic number.

1010022121212 is a gapful number since it is divisible by the number (12) 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 1010022121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291371409440).

1010022121212 is an abundant number, since it is smaller than the sum of its proper divisors (1572720697668).

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

1010022121212 is a wasteful number, since it uses less digits than its factorization.

1010022121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128943 (or 128941 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1010022121212 its reverse (2121212200101), we get a palindrome (3131234321313).

The spelling of 1010022121212 in words is "one trillion, ten billion, twenty-two million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 732 793 829 1586 1658 2379 2487 3172 3316 4758 4974 9516 9948 10777 21554 32331 43108 50569 64662 101138 128033 129324 151707 202276 256066 303414 384099 512132 606828 657397 768198 1314794 1536396 1664429 1972191 2629588 3328858 3944382 4993287 6657716 7810013 7888764 9986574 15620026 19973148 23430039 31240052 46860078 93720156 101530169 106139357 203060338 212278714 304590507 318418071 406120676 424557428 609181014 636836142 1218362028 1273672284 1379811641 2759623282 4139434923 5519246564 6474500777 8278869846 12949001554 16557739692 19423502331 25898003108 38847004662 77694009324 84168510101 168337020202 252505530303 336674040404 505011060606 1010022121212