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1021121244 = 223211131391427
BaseRepresentation
bin111100110111010…
…001001011011100
32122011102100000100
4330313101023130
54042401334434
6245154101100
734206246603
oct7467211334
92564370010
101021121244
1148443a560
12245b7a790
13133723a70
1499888a3a
155e9a4699
hex3cdd12dc

1021121244 has 144 divisors (see below), whose sum is σ = 3056376960. Its totient is φ = 283374720.

The previous prime is 1021121243. The next prime is 1021121251. The reversal of 1021121244 is 4421211201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021121243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714859 + ... + 716285.

It is an arithmetic number, because the mean of its divisors is an integer number (21224840).

Almost surely, 21021121244 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 1021121244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528188480).

1021121244 is an abundant number, since it is smaller than the sum of its proper divisors (2035255716).

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

1021121244 is a wasteful number, since it uses less digits than its factorization.

1021121244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1021121244 is about 31954.9877796879. The cubic root of 1021121244 is about 1006.9914207886.

Adding to 1021121244 its reverse (4421211201), we get a palindrome (5442332445).

It can be divided in two parts, 1021 and 121244, that added together give a triangular number (122265 = T494).

The spelling of 1021121244 in words is "one billion, twenty-one million, one hundred twenty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 139 143 156 198 234 278 286 396 417 429 468 556 572 834 858 1251 1287 1427 1529 1668 1716 1807 2502 2574 2854 3058 3614 4281 4587 5004 5148 5421 5708 6116 7228 8562 9174 10842 12843 13761 15697 16263 17124 18348 18551 19877 21684 25686 27522 31394 32526 37102 39754 47091 51372 55044 55653 59631 62788 65052 74204 79508 94182 111306 119262 141273 166959 178893 188364 198353 204061 222612 238524 282546 333918 357786 396706 408122 565092 595059 612183 667836 715572 793412 816244 1190118 1224366 1785177 1836549 2181883 2380236 2448732 2578589 3570354 3673098 4363766 5157178 6545649 7140708 7346196 7735767 8727532 10314356 13091298 15471534 19636947 23207301 26182596 28364479 30943068 39273894 46414602 56728958 78547788 85093437 92829204 113457916 170186874 255280311 340373748 510560622 1021121244