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3120103000 = 235372331913
BaseRepresentation
bin1011100111111000…
…1111111001011000
322001110000122200101
42321332033321120
522342221244000
61233334345144
7140214303130
oct27176177130
98043018611
103120103000
111361242623
12730abb1b4
133a95462c1
1421854bac0
15133db9e6a
hexb9f8fe58

3120103000 has 128 divisors (see below), whose sum is σ = 8384238720. Its totient is φ = 1064601600.

The previous prime is 3120102961. The next prime is 3120103027. The reversal of 3120103000 is 3010213.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 1630044 + ... + 1631956.

It is an arithmetic number, because the mean of its divisors is an integer number (65501865).

Almost surely, 23120103000 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 3120103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192119360).

3120103000 is an abundant number, since it is smaller than the sum of its proper divisors (5264135720).

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

3120103000 is a wasteful number, since it uses less digits than its factorization.

3120103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 3120103000 is about 55857.8821653668. The cubic root of 3120103000 is about 1461.2447943960.

Adding to 3120103000 its reverse (3010213), we get a palindrome (3123113213).

The spelling of 3120103000 in words is "three billion, one hundred twenty million, one hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 233 250 280 350 466 500 700 875 932 1000 1165 1400 1631 1750 1864 1913 2330 3262 3500 3826 4660 5825 6524 7000 7652 8155 9320 9565 11650 13048 13391 15304 16310 19130 23300 26782 29125 32620 38260 40775 46600 47825 53564 58250 65240 66955 76520 81550 95650 107128 116500 133910 163100 191300 203875 233000 239125 267820 326200 334775 382600 407750 445729 478250 535640 669550 815500 891458 956500 1339100 1631000 1673875 1782916 1913000 2228645 2678200 3120103 3347750 3565832 4457290 6240206 6695500 8914580 11143225 12480412 13391000 15600515 17829160 22286450 24960824 31201030 44572900 55716125 62402060 78002575 89145800 111432250 124804120 156005150 222864500 312010300 390012875 445729000 624020600 780025750 1560051500 3120103000