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2102431020 = 2235371994759
BaseRepresentation
bin111110101010000…
…1000110100101100
312102112002120011120
41331110020310230
513301210243040
6544342220540
7103046240334
oct17524106454
95375076146
102102431020
119898495a8
124a8124750
1327675c531
1415d3200c4
15c48977d0
hex7d508d2c

2102431020 has 96 divisors (see below), whose sum is σ = 6077568000. Its totient is φ = 542640384.

The previous prime is 2102431003. The next prime is 2102431039. The reversal of 2102431020 is 201342012.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 439401 + ... + 444159.

It is an arithmetic number, because the mean of its divisors is an integer number (63308000).

Almost surely, 22102431020 is an apocalyptic number.

2102431020 is a gapful number since it is divisible by the number (20) 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 2102431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038784000).

2102431020 is an abundant number, since it is smaller than the sum of its proper divisors (3975136980).

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

2102431020 is a wasteful number, since it uses less digits than its factorization.

2102431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2102431020 is about 45852.2738803650. The cubic root of 2102431020 is about 1281.0731194410.

Adding to 2102431020 its reverse (201342012), we get a palindrome (2303773032).

The spelling of 2102431020 in words is "two billion, one hundred two million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 199 222 370 398 444 555 597 740 796 995 1110 1194 1990 2220 2388 2985 3980 4759 5970 7363 9518 11940 14277 14726 19036 22089 23795 28554 29452 36815 44178 47590 57108 71385 73630 88356 95180 110445 142770 147260 176083 220890 285540 352166 441780 528249 704332 880415 947041 1056498 1760830 1894082 2112996 2641245 2841123 3521660 3788164 4735205 5282490 5682246 9470410 10564980 11364492 14205615 18940820 28411230 35040517 56822460 70081034 105121551 140162068 175202585 210243102 350405170 420486204 525607755 700810340 1051215510 2102431020