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10321121196 = 2233151769823
BaseRepresentation
bin10011001110010111…
…11100111110101100
3222122022000021121000
421213023330332230
5132114201334241
64424053240300
7513524040231
oct114713747654
928568007530
1010321121196
114417005131
122000633090
13c863a1b09
146dca73788
1540618eeb6
hex2672fcfac

10321121196 has 96 divisors (see below), whose sum is σ = 27003468800. Its totient is φ = 3408998400.

The previous prime is 10321121191. The next prime is 10321121201. The reversal of 10321121196 is 69112112301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10321121191) and next prime (10321121201).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10321121191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12540441 + ... + 12541263.

Almost surely, 210321121196 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 10321121196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13501734400).

10321121196 is an abundant number, since it is smaller than the sum of its proper divisors (16682347604).

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

10321121196 is a wasteful number, since it uses less digits than its factorization.

10321121196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

Adding to 10321121196 its reverse (69112112301), we get a palindrome (79433233497).

The spelling of 10321121196 in words is "ten billion, three hundred twenty-one million, one hundred twenty-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 302 453 604 769 823 906 1359 1538 1646 1812 2307 2469 2718 3076 3292 4077 4614 4938 5436 6921 7407 8154 9228 9876 13842 14814 16308 20763 22221 27684 29628 41526 44442 83052 88884 116119 124273 232238 248546 348357 372819 464476 497092 632887 696714 745638 1045071 1118457 1265774 1393428 1491276 1898661 2090142 2236914 2531548 3135213 3355371 3797322 4180284 4473828 5695983 6270426 6710742 7594644 11391966 12540852 13421484 17087949 22783932 34175898 68351796 95565937 191131874 286697811 382263748 573395622 860093433 1146791244 1720186866 2580280299 3440373732 5160560598 10321121196