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1100010120 = 2335111734817
BaseRepresentation
bin100000110010000…
…1101001010001000
32211122212022012120
41001210031022020
54223100310440
6301053011240
736154634406
oct10144151210
92748768176
101100010120
11514a21980
12268483b20
13146b85481
14a6142476
1566888dd0
hex4190d288

1100010120 has 128 divisors (see below), whose sum is σ = 3621594240. Its totient is φ = 265072640.

The previous prime is 1100010113. The next prime is 1100010151. The reversal of 1100010120 is 210100011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1100010099 and 1100010108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225952 + ... + 230768.

It is an arithmetic number, because the mean of its divisors is an integer number (28293705).

Almost surely, 21100010120 is an apocalyptic number.

1100010120 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 1100010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810797120).

1100010120 is an abundant number, since it is smaller than the sum of its proper divisors (2521584120).

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

1100010120 is a wasteful number, since it uses less digits than its factorization.

1100010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1100010120 is about 33166.4004679435. The cubic root of 1100010120 is about 1032.2832811057.

Adding to 1100010120 its reverse (210100011), we get a palindrome (1310110131).

The spelling of 1100010120 in words is "one billion, one hundred million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 173 220 264 330 346 440 519 660 692 865 1038 1320 1384 1730 1903 2076 2595 3460 3806 4152 4817 5190 5709 6920 7612 9515 9634 10380 11418 14451 15224 19030 19268 20760 22836 24085 28545 28902 38060 38536 45672 48170 52987 57090 57804 72255 76120 96340 105974 114180 115608 144510 158961 192680 211948 228360 264935 289020 317922 423896 529870 578040 635844 794805 833341 1059740 1271688 1589610 1666682 2119480 2500023 3179220 3333364 4166705 5000046 6358440 6666728 8333410 9166751 10000092 12500115 16666820 18333502 20000184 25000230 27500253 33333640 36667004 45833755 50000460 55000506 73334008 91667510 100000920 110001012 137501265 183335020 220002024 275002530 366670040 550005060 1100010120