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1202101020 = 2233513716249
BaseRepresentation
bin100011110100110…
…1001101100011100
310002202222001121000
41013221221230130
54430214213040
6315141110300
741534455461
oct10751515434
93082861530
101202101020
1156761131a
122966b8390
1316207b8a3
14b5919668
1570803130
hex47a69b1c

1202101020 has 96 divisors (see below), whose sum is σ = 3767400000. Its totient is φ = 318200832.

The previous prime is 1202101007. The next prime is 1202101037. The reversal of 1202101020 is 201012021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1202100993 and 1202101011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65856 + ... + 82104.

It is an arithmetic number, because the mean of its divisors is an integer number (39243750).

Almost surely, 21202101020 is an apocalyptic number.

1202101020 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 1202101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883700000).

1202101020 is an abundant number, since it is smaller than the sum of its proper divisors (2565298980).

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

1202101020 is a wasteful number, since it uses less digits than its factorization.

1202101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16404 (or 16396 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1202101020 is about 34671.3285006502. The cubic root of 1202101020 is about 1063.2783928358.

Adding to 1202101020 its reverse (201012021), we get a palindrome (1403113041).

The spelling of 1202101020 in words is "one billion, two hundred two million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 180 270 274 411 540 548 685 822 1233 1370 1644 2055 2466 2740 3699 4110 4932 6165 7398 8220 12330 14796 16249 18495 24660 32498 36990 48747 64996 73980 81245 97494 146241 162490 194988 243735 292482 324980 438723 487470 584964 731205 877446 974940 1462410 1754892 2193615 2226113 2924820 4387230 4452226 6678339 8774460 8904452 11130565 13356678 20035017 22261130 26713356 33391695 40070034 44522260 60105051 66783390 80140068 100175085 120210102 133566780 200350170 240420204 300525255 400700340 601050510 1202101020