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1121021020 = 2257253113191
BaseRepresentation
bin100001011010001…
…0110110001011100
32220010101202202001
41002310112301130
54243440133040
6303123212044
736531343600
oct10264266134
92803352661
101121021020
11525872759
12273517024
1314b330a62
14a8c51500
156863959a
hex42d16c5c

1121021020 has 144 divisors (see below), whose sum is σ = 2829593088. Its totient is φ = 371804160.

The previous prime is 1121020993. The next prime is 1121021093. The reversal of 1121021020 is 201201211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1121020988 and 1121021006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5869125 + ... + 5869315.

It is an arithmetic number, because the mean of its divisors is an integer number (19649952).

Almost surely, 21121021020 is an apocalyptic number.

1121021020 is a gapful number since it is divisible by the number (10) 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 1121021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414796544).

1121021020 is an abundant number, since it is smaller than the sum of its proper divisors (1708572068).

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

1121021020 is a wasteful number, since it uses less digits than its factorization.

1121021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1121021020 is about 33481.6519903066. The cubic root of 1121021020 is about 1038.8142983528.

Adding to 1121021020 its reverse (201201211), we get a palindrome (1322222231).

The spelling of 1121021020 in words is "one billion, one hundred twenty-one million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 113 140 191 196 212 226 245 265 371 382 452 490 530 565 742 764 791 955 980 1060 1130 1337 1484 1582 1855 1910 2260 2597 2674 3164 3710 3820 3955 5194 5348 5537 5989 6685 7420 7910 9359 10123 10388 11074 11978 12985 13370 15820 18718 20246 21583 22148 23956 25970 26740 27685 29945 37436 40492 41923 43166 46795 50615 51940 55370 59890 70861 83846 86332 93590 101230 107915 110740 119780 141722 151081 167692 187180 202460 209615 215830 283444 293461 302162 354305 419230 431660 496027 586922 604324 708610 755405 838460 992054 1057567 1143899 1173844 1417220 1467305 1510810 1984108 2115134 2287798 2480135 2934610 3021620 4230268 4575596 4960270 5287835 5719495 5869220 8007293 9920540 10575670 11438990 16014586 21151340 22877980 32029172 40036465 56051051 80072930 112102102 160145860 224204204 280255255 560510510 1121021020