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1011111001212 = 2231341101215497
BaseRepresentation
bin11101011011010101110…
…10010111110001111100
310120122212001201202202110
432231222322113301330
5113031223404014322
62052255321454020
7133023162463404
oct16555272276174
93518761652673
101011111001212
1135a89a889624
12143b63041310
13744691b9180
1436d1bd6d804
151b47be2ec0c
hexeb6ae97c7c

1011111001212 has 144 divisors (see below), whose sum is σ = 2628903918816. Its totient is φ = 300498432000.

The previous prime is 1011111001211. The next prime is 1011111001213. The reversal of 1011111001212 is 2121001111101.

It is an interprime number because it is at equal distance from previous prime (1011111001211) and next prime (1011111001213).

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 (1011111001211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65237848 + ... + 65253344.

It is an arithmetic number, because the mean of its divisors is an integer number (18256277214).

Almost surely, 21011111001212 is an apocalyptic number.

1011111001212 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 1011111001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314451959408).

1011111001212 is an abundant number, since it is smaller than the sum of its proper divisors (1617792917604).

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

1011111001212 is a wasteful number, since it uses less digits than its factorization.

1011111001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15760 (or 15657 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1011111001212 its reverse (2121001111101), we get a palindrome (3132112112313).

The spelling of 1011111001212 in words is "one trillion, eleven billion, one hundred eleven million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 101 123 156 164 202 246 303 404 492 533 606 1066 1212 1313 1599 2132 2626 3198 3939 4141 5252 6396 7878 8282 10201 12423 15497 15756 16564 20402 24846 30603 30994 40804 46491 49692 53833 61206 61988 92982 107666 122412 132613 161499 185964 201461 215332 265226 322998 397839 402922 418241 530452 604383 635377 645996 795678 805844 836482 1208766 1254723 1270754 1565197 1591356 1672964 1906131 2417532 2509446 2541508 3130394 3812262 4695591 5018892 5437133 6260788 7624524 8259901 9391182 10874266 16311399 16519802 18782364 20347561 21748532 24779703 32622798 33039604 40695122 49559406 61042683 64173077 65245596 81390244 99118812 122085366 128346154 158084897 192519231 244170732 256692308 316169794 385038462 474254691 632339588 770076924 834250001 948509382 1668500002 1897018764 2055103661 2502750003 3337000004 4110207322 5005500006 6165310983 6481480777 8220414644 10011000012 12330621966 12962961554 19444442331 24661243932 25925923108 38888884662 77777769324 84259250101 168518500202 252777750303 337037000404 505555500606 1011111001212