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1011021102012 = 22319139128924749
BaseRepresentation
bin11101011011001011000…
…11011011101110111100
310120122121210120102020110
432231211203123232330
5113031032400231022
62052242350550020
7133021021400535
oct16554543335674
93518553512213
101011021102012
1135a854066a69
12143b38b08310
13744536a108c
1436d1004b68c
151b4740c300c
hexeb658dbbbc

1011021102012 has 96 divisors (see below), whose sum is σ = 2503116000000. Its totient is φ = 316714212864.

The previous prime is 1011021102011. The next prime is 1011021102041. The reversal of 1011021102012 is 2102011201101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011021102011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40838614 + ... + 40863362.

It is an arithmetic number, because the mean of its divisors is an integer number (26074125000).

Almost surely, 21011021102012 is an apocalyptic number.

1011021102012 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 1011021102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251558000000).

1011021102012 is an abundant number, since it is smaller than the sum of its proper divisors (1492094897988).

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

1011021102012 is a wasteful number, since it uses less digits than its factorization.

1011021102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26203 (or 26201 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011021102012 its reverse (2102011201101), we get a palindrome (3113032303113).

The spelling of 1011021102012 in words is "one trillion, eleven billion, twenty-one million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 139 228 278 417 556 834 1289 1668 2578 2641 3867 5156 5282 7734 7923 10564 15468 15846 24491 24749 31692 48982 49498 73473 74247 97964 98996 146946 148494 179171 293892 296988 358342 470231 537513 716684 940462 1075026 1410693 1880924 2150052 2821386 3404249 3440111 5642772 6808498 6880222 10212747 10320333 13616996 13760444 20425494 20640666 31901461 40850988 41281332 63802922 65362109 95704383 127605844 130724218 191408766 196086327 261448436 382817532 392172654 606127759 784345308 1212255518 1818383277 2424511036 3636766554 4434303079 7273533108 8868606158 13302909237 17737212316 26605818474 53211636948 84251758501 168503517002 252755275503 337007034004 505510551006 1011021102012