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1114664100 = 2235211230707
BaseRepresentation
bin100001001110000…
…0110110010100100
32212200102210200120
41002130012302210
54240323222400
6302335041540
736423326364
oct10234066244
92780383616
101114664100
11522220700
122713702b0
13149c16474
14a80789a4
1567cd0ca0
hex42706ca4

1114664100 has 108 divisors (see below), whose sum is σ = 3545054352. Its totient is φ = 270212800.

The previous prime is 1114664099. The next prime is 1114664101. The reversal of 1114664100 is 14664111.

It is an interprime number because it is at equal distance from previous prime (1114664099) and next prime (1114664101).

It is not an unprimeable number, because it can be changed into a prime (1114664101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20947 + ... + 51653.

Almost surely, 21114664100 is an apocalyptic number.

1114664100 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 1114664100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772527176).

1114664100 is an abundant number, since it is smaller than the sum of its proper divisors (2430390252).

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

1114664100 is a wasteful number, since it uses less digits than its factorization.

1114664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30746 (or 30728 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1114664100 is about 33386.5856295609. The cubic root of 1114664100 is about 1036.8469902483.

The spelling of 1114664100 in words is "one billion, one hundred fourteen million, six hundred sixty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 30707 36300 61414 92121 122828 153535 184242 307070 337777 368484 460605 614140 675554 767675 921210 1013331 1351108 1535350 1688885 1842420 2026662 2303025 3070700 3377770 3715547 4053324 4606050 5066655 6755540 7431094 8444425 9212100 10133310 11146641 14862188 16888850 18577735 20266620 22293282 25333275 33777700 37155470 44586564 50666550 55733205 74310940 92888675 101333100 111466410 185777350 222932820 278666025 371554700 557332050 1114664100