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1021220202112 = 271129193129587
BaseRepresentation
bin11101101110001010111…
…01111010011010000000
310121121221120222101100121
432313011131322122000
5113212424332431422
62101050405030024
7133531534331335
oct16670535723200
93547846871317
101021220202112
113641081a9910
12145b046b5314
13753ba6bc056
14375da7da98c
151b86e6ad8c7
hexedc577a680

1021220202112 has 128 divisors (see below), whose sum is σ = 2307858609600. Its totient is φ = 445858775040.

The previous prime is 1021220202109. The next prime is 1021220202127. The reversal of 1021220202112 is 2112020221201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 7815783 + ... + 7945369.

Almost surely, 21021220202112 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 1021220202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153929304800).

1021220202112 is an abundant number, since it is smaller than the sum of its proper divisors (1286638407488).

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

1021220202112 is a wasteful number, since it uses less digits than its factorization.

1021220202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129834 (or 129822 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1021220202112 its reverse (2112020221201), we get a palindrome (3133240423313).

The spelling of 1021220202112 in words is "one trillion, twenty-one billion, two hundred twenty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 193 232 319 352 386 464 638 704 772 928 1276 1408 1544 1856 2123 2552 3088 3712 4246 5104 5597 6176 8492 10208 11194 12352 16984 20416 22388 24704 33968 40832 44776 61567 67936 89552 123134 129587 135872 179104 246268 259174 271744 358208 492536 518348 716416 985072 1036696 1425457 1970144 2073392 2850914 3758023 3940288 4146784 5701828 7516046 7880576 8293568 11403656 15032092 16587136 22807312 25010291 30064184 41338253 45614624 50020582 60128368 82676506 91229248 100041164 120256736 165353012 182458496 200082328 240513472 275113201 330706024 400164656 481026944 550226402 661412048 725298439 800329312 1100452804 1322824096 1450596878 1600658624 2200905608 2645648192 2901193756 3201317248 4401811216 5291296384 5802387512 7978282829 8803622432 11604775024 15956565658 17607244864 23209550048 31913131316 35214489728 46419100096 63826262632 92838200192 127652525264 255305050528 510610101056 1021220202112