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3100130100 = 2232523793097
BaseRepresentation
bin1011100011001000…
…0011101100110100
322000001102221000100
42320302003230310
522322113130400
61231342314100
7136552446114
oct27062035464
98001387010
103100130100
111350a406a1
12726288930
133a5372312
14215a2d044
15132272100
hexb8c83b34

3100130100 has 108 divisors (see below), whose sum is σ = 9979919404. Its totient is φ = 804349440.

The previous prime is 3100130069. The next prime is 3100130123. The reversal of 3100130100 is 10310013.

It can be written as a sum of positive squares in 6 ways, for example, as 535824 + 3099594276 = 732^2 + 55674^2 .

It is a super-2 number, since 2×31001301002 = 19221613273852020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13249 + ... + 79848.

Almost surely, 23100130100 is an apocalyptic number.

3100130100 is a gapful number since it is divisible by the number (30) 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 3100130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989959702).

3100130100 is an abundant number, since it is smaller than the sum of its proper divisors (6879789304).

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

3100130100 is a wasteful number, since it uses less digits than its factorization.

3100130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93154 (or 93144 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 3100130100 is about 55678.8119485321. The cubic root of 3100130100 is about 1458.1201332592.

Adding to 3100130100 its reverse (10310013), we get a palindrome (3110440113).

The spelling of 3100130100 in words is "three billion, one hundred million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 93097 186194 279291 372388 465485 558582 837873 930970 1117164 1396455 1675746 1861940 2327425 2792910 3351492 3444589 4189365 4654850 5585820 6889178 6982275 8378730 9309700 10333767 13778356 13964550 16757460 17222945 20667534 20946825 27929100 31001301 34445890 41335068 41893650 51668835 62002602 68891780 83787300 86114725 103337670 124005204 155006505 172229450 206675340 258344175 310013010 344458900 516688350 620026020 775032525 1033376700 1550065050 3100130100