Search a number
-
+
1021235102244 = 2232710737874021
BaseRepresentation
bin11101101110001100101…
…10110000001000100100
310121121222122000101111100
432313012112300020210
5113212442141232434
62101052100240100
7133532105100060
oct16670626601044
93547878011440
101021235102244
11364115656575
12145b096a0030
13753c08080b6
14375dc798aa0
151b870b53699
hexedc65b0224

1021235102244 has 72 divisors (see below), whose sum is σ = 2977807105728. Its totient is φ = 289054520640.

The previous prime is 1021235102243. The next prime is 1021235102249. The reversal of 1021235102244 is 4422015321201.

1021235102244 is a `hidden beast` number, since 1 + 0 + 2 + 123 + 510 + 2 + 24 + 4 = 666.

It is a super-2 number, since 2×10212351022442 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1021235102243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18910047 + ... + 18963974.

It is an arithmetic number, because the mean of its divisors is an integer number (41358432024).

Almost surely, 21021235102244 is an apocalyptic number.

1021235102244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1021235102244 is an abundant number, since it is smaller than the sum of its proper divisors (1956572003484).

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

1021235102244 is a wasteful number, since it uses less digits than its factorization.

1021235102244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37874145 (or 37874140 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 1021235102244 in words is "one trillion, twenty-one billion, two hundred thirty-five million, one hundred two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 963 1284 1498 1926 2247 2996 3852 4494 6741 8988 13482 26964 37874021 75748042 113622063 151496084 227244126 265118147 340866189 454488252 530236294 681732378 795354441 1060472588 1363464756 1590708882 2386063323 3181417764 4052520247 4772126646 8105040494 9544253292 12157560741 16210080988 24315121482 28367641729 36472682223 48630242964 56735283458 72945364446 85102925187 113470566916 145890728892 170205850374 255308775561 340411700748 510617551122 1021235102244