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1010321004 = 2237211181863
BaseRepresentation
bin111100001110000…
…100011001101100
32121102002121212110
4330032010121230
54032120233004
6244130404020
734015405200
oct7416043154
92542077773
101010321004
11479333140
12242430610
13131411ba4
1498276b00
155da6e589
hex3c38466c

1010321004 has 144 divisors (see below), whose sum is σ = 3011613696. Its totient is φ = 260668800.

The previous prime is 1010321003. The next prime is 1010321009. The reversal of 1010321004 is 4001230101.

It is a happy number.

It is a super-2 number, since 2×10103210042 = 2041497062247136032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1010321003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1170277 + ... + 1171139.

It is an arithmetic number, because the mean of its divisors is an integer number (20913984).

Almost surely, 21010321004 is an apocalyptic number.

1010321004 is a gapful number since it is divisible by the number (14) 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 1010321004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505806848).

1010321004 is an abundant number, since it is smaller than the sum of its proper divisors (2001292692).

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

1010321004 is a wasteful number, since it uses less digits than its factorization.

1010321004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1010321004 is about 31785.5470929792. The cubic root of 1010321004 is about 1003.4285661664.

Adding to 1010321004 its reverse (4001230101), we get a palindrome (5011551105).

The spelling of 1010321004 in words is "one billion, ten million, three hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 181 196 231 294 308 362 462 539 543 588 724 863 924 1078 1086 1267 1617 1726 1991 2156 2172 2534 2589 3234 3452 3801 3982 5068 5178 5973 6041 6468 7602 7964 8869 9493 10356 11946 12082 13937 15204 17738 18123 18986 23892 24164 26607 27874 28479 35476 36246 37972 41811 42287 53214 55748 56958 66451 72492 83622 84574 97559 106428 113916 126861 132902 156203 167244 169148 195118 199353 253722 265804 292677 312406 390236 398706 465157 468609 507444 585354 624812 797412 930314 937218 1093421 1170708 1395471 1718233 1860628 1874436 2186842 2790942 3280263 3436466 4373684 5154699 5581884 6560526 6872932 7653947 10309398 12027631 13121052 15307894 20618796 22961841 24055262 30615788 36082893 45923682 48110524 72165786 84193417 91847364 144331572 168386834 252580251 336773668 505160502 1010321004