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1021311002432 = 26711361332911
BaseRepresentation
bin11101101110010101110…
…00010010011101000000
310121122011220211111222102
432313022320102131000
5113213121104034212
62101103411125532
7133534016166320
oct16671270223500
93548156744872
101021311002432
113641544874a6
12145b2aba38a8
1375403461356
14376088b5280
151b8776475c2
hexedcae12740

1021311002432 has 112 divisors (see below), whose sum is σ = 2340567685632. Its totient is φ = 433110343680.

The previous prime is 1021311002429. The next prime is 1021311002441. The reversal of 1021311002432 is 2342001131201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31016057 + ... + 31048967.

Almost surely, 21021311002432 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 1021311002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170283842816).

1021311002432 is an abundant number, since it is smaller than the sum of its proper divisors (1319256683200).

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

1021311002432 is a wasteful number, since it uses less digits than its factorization.

1021311002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33656 (or 33646 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1021311002432 its reverse (2342001131201), we get a palindrome (3363312133633).

The spelling of 1021311002432 in words is "one trillion, twenty-one billion, three hundred eleven million, two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 613 791 904 1226 1582 1808 2452 3164 3616 4291 4904 6328 7232 8582 9808 12656 17164 19616 25312 32911 34328 39232 50624 65822 68656 69269 131644 137312 138538 230377 263288 274624 277076 460754 484883 526576 554152 921508 969766 1053152 1108304 1843016 1939532 2106304 2216608 3686032 3718943 3879064 4433216 7372064 7437886 7758128 14744128 14875772 15516256 20174443 26032601 29751544 31032512 40348886 52065202 59503088 80697772 104130404 119006176 141221101 161395544 208260808 238012352 282442202 322791088 416521616 564884404 645582176 833043232 1129768808 1291164352 1666086464 2259537616 2279712059 4519075232 4559424118 9038150464 9118848236 15957984413 18237696472 31915968826 36475392944 63831937652 72950785888 127663875304 145901571776 255327750608 510655501216 1021311002432