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1111248996 = 22311213173463
BaseRepresentation
bin100001000111100…
…0101000001100100
32212110000022001020
41002033011001210
54233434431441
6302133531140
736352313664
oct10217050144
92773008036
101111248996
115202a8900
122701a3ab0
131492bbbb0
14a782a1a4
1567858e66
hex423c5064

1111248996 has 144 divisors (see below), whose sum is σ = 3250783872. Its totient is φ = 292469760.

The previous prime is 1111248973. The next prime is 1111249021. The reversal of 1111248996 is 6998421111.

It is a super-2 number, since 2×11112489962 = 2469748662222016032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319161 + ... + 322623.

It is an arithmetic number, because the mean of its divisors is an integer number (22574888).

Almost surely, 21111248996 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 1111248996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625391936).

1111248996 is an abundant number, since it is smaller than the sum of its proper divisors (2139534876).

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

1111248996 is a wasteful number, since it uses less digits than its factorization.

1111248996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3509 counting only the distinct ones).

The product of its digits is 31104, while the sum is 42.

The square root of 1111248996 is about 33335.4015425043. The cubic root of 1111248996 is about 1035.7870109200.

The spelling of 1111248996 in words is "one billion, one hundred eleven million, two hundred forty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 39 44 51 52 66 68 78 102 121 132 143 156 187 204 221 242 286 363 374 429 442 484 561 572 663 726 748 858 884 1122 1326 1452 1573 1716 2057 2244 2431 2652 3146 3463 4114 4719 4862 6171 6292 6926 7293 8228 9438 9724 10389 12342 13852 14586 18876 20778 24684 26741 29172 38093 41556 45019 53482 58871 76186 80223 90038 106964 114279 117742 135057 152372 160446 176613 180076 228558 235484 270114 320892 353226 419023 457116 495209 540228 647581 706452 765323 838046 990418 1257069 1295162 1485627 1530646 1676092 1942743 1980836 2295969 2514138 2590324 2971254 3061292 3885486 4591938 5028276 5447299 5942508 7123391 7770972 8418553 9183876 10894598 14246782 16341897 16837106 21370173 21789196 25255659 28493564 32683794 33674212 42740346 50511318 65367588 85480692 92604083 101022636 185208166 277812249 370416332 555624498 1111248996