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1003131030 = 23511191391151
BaseRepresentation
bin111011110010101…
…001000010010110
32120220120100002010
4323302221002112
54023300143110
6243312325050
733600321156
oct7362510226
92526510063
101003131030
11475272210
1223bb43786
1312ca95375
1497324766
155d0ee020
hex3bca9096

1003131030 has 128 divisors (see below), whose sum is σ = 2786918400. Its totient is φ = 228528000.

The previous prime is 1003131023. The next prime is 1003131061. The reversal of 1003131030 is 301313001.

1003131030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1003130997 and 1003131015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 870955 + ... + 872105.

It is an arithmetic number, because the mean of its divisors is an integer number (21772800).

Almost surely, 21003131030 is an apocalyptic number.

1003131030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003131030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393459200).

1003131030 is an abundant number, since it is smaller than the sum of its proper divisors (1783787370).

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

1003131030 is a wasteful number, since it uses less digits than its factorization.

1003131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1003131030 is about 31672.2438422035. The cubic root of 1003131030 is about 1001.0425892965.

Adding to 1003131030 its reverse (301313001), we get a palindrome (1304444031).

The spelling of 1003131030 in words is "one billion, three million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 139 165 190 209 278 285 330 417 418 570 627 695 834 1045 1151 1254 1390 1529 2085 2090 2302 2641 3058 3135 3453 4170 4587 5282 5755 6270 6906 7645 7923 9174 11510 12661 13205 15290 15846 17265 21869 22935 25322 26410 29051 34530 37983 39615 43738 45870 58102 63305 65607 75966 79230 87153 109345 126610 131214 145255 159989 174306 189915 218690 240559 290510 319978 328035 379830 435765 479967 481118 656070 721677 799945 871530 959934 1202795 1443354 1599890 1759879 2399835 2405590 3039791 3519758 3608385 4799670 5279637 6079582 7216770 8799395 9119373 10559274 15198955 17598790 18238746 26398185 30397910 33437701 45596865 52796370 66875402 91193730 100313103 167188505 200626206 334377010 501565515 1003131030