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1112002000 = 24534171191
BaseRepresentation
bin100001001000111…
…1100110111010000
32212111102112222021
41002101330313100
54234133031000
6302202021224
736361601224
oct10221746720
92774375867
101112002000
1152077261a
122704a7814
131494c3865
14a7984784
156795711a
hex4247cdd0

1112002000 has 160 divisors (see below), whose sum is σ = 2807820288. Its totient is φ = 425600000.

The previous prime is 1112001983. The next prime is 1112002007. The reversal of 1112002000 is 2002111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112002007) 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, 5821905 + ... + 5822095.

Almost surely, 21112002000 is an apocalyptic number.

1112002000 is a gapful number since it is divisible by the number (10) 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 1112002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403910144).

1112002000 is an abundant number, since it is smaller than the sum of its proper divisors (1695818288).

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

1112002000 is a wasteful number, since it uses less digits than its factorization.

1112002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1112002000 is about 33346.6939890598. The cubic root of 1112002000 is about 1036.0209145910.

Adding to 1112002000 its reverse (2002111), we get a palindrome (1114004111).

The spelling of 1112002000 in words is "one billion, one hundred twelve million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 71 80 82 100 125 142 164 191 200 205 250 284 328 355 382 400 410 500 568 656 710 764 820 955 1000 1025 1136 1420 1528 1640 1775 1910 2000 2050 2840 2911 3056 3280 3550 3820 4100 4775 5125 5680 5822 7100 7640 7831 8200 8875 9550 10250 11644 13561 14200 14555 15280 15662 16400 17750 19100 20500 23288 23875 27122 28400 29110 31324 35500 38200 39155 41000 46576 47750 54244 58220 62648 67805 71000 72775 76400 78310 82000 95500 108488 116440 125296 135610 142000 145550 156620 191000 195775 216976 232880 271220 291100 313240 339025 363875 382000 391550 542440 556001 582200 626480 678050 727750 783100 978875 1084880 1112002 1164400 1356100 1455500 1566200 1695125 1957750 2224004 2712200 2780005 2911000 3132400 3390250 3915500 4448008 5424400 5560010 5822000 6780500 7831000 8896016 11120020 13561000 13900025 15662000 22240040 27122000 27800050 44480080 55600100 69500125 111200200 139000250 222400400 278000500 556001000 1112002000