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1112002100 = 2252112293169
BaseRepresentation
bin100001001000111…
…1100111000110100
32212111102120002222
41002101330320310
54234133031400
6302202021512
736361601426
oct10221747064
92774376088
101112002100
11520772700
122704a7898
131494c3911
14a7984816
1567957185
hex4247ce34

1112002100 has 108 divisors (see below), whose sum is σ = 2744681100. Its totient is φ = 390297600.

The previous prime is 1112002057. The next prime is 1112002109. The reversal of 1112002100 is 12002111.

It can be written as a sum of positive squares in 6 ways, for example, as 2579236 + 1109422864 = 1606^2 + 33308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112002109) 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, 349316 + ... + 352484.

Almost surely, 21112002100 is an apocalyptic number.

1112002100 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 1112002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372340550).

1112002100 is an abundant number, since it is smaller than the sum of its proper divisors (1632679000).

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

1112002100 is a wasteful number, since it uses less digits than its factorization.

1112002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1112002100 is about 33346.6954884588. The cubic root of 1112002100 is about 1036.0209456467.

Adding to 1112002100 its reverse (12002111), we get a palindrome (1124004211).

The spelling of 1112002100 in words is "one billion, one hundred twelve million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 121 145 220 242 275 290 319 484 550 580 605 638 725 1100 1210 1276 1450 1595 2420 2900 3025 3169 3190 3509 6050 6338 6380 7018 7975 12100 12676 14036 15845 15950 17545 31690 31900 34859 35090 63380 69718 70180 79225 87725 91901 139436 158450 174295 175450 183802 316900 348590 350900 367604 383449 459505 697180 766898 871475 919010 1010911 1533796 1742950 1838020 1917245 2021822 2297525 3485900 3834490 4043644 4595050 5054555 7668980 9190100 9586225 10109110 11120021 19172450 20218220 22240042 25272775 38344900 44480084 50545550 55600105 101091100 111200210 222400420 278000525 556001050 1112002100