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1211303143100 = 2252294147216757
BaseRepresentation
bin10001101000000111010…
…010110010011010111100
311021210120210120021101002
4101220013102302122330
5124321222101034400
62324244234105432
7153341135556011
oct21500722623274
94253523507332
101211303143100
11427790055876
12176912b7b278
138a2c127096b
14428ad789708
15217971a9ed5
hex11a074b26bc

1211303143100 has 144 divisors (see below), whose sum is σ = 2844766673280. Its totient is φ = 446690764800.

The previous prime is 1211303143067. The next prime is 1211303143103. The reversal of 1211303143100 is 13413031121.

It is a super-2 number, since 2×12113031431002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211303143103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5479922 + ... + 5696678.

It is an arithmetic number, because the mean of its divisors is an integer number (19755324120).

Almost surely, 21211303143100 is an apocalyptic number.

1211303143100 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 1211303143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422383336640).

1211303143100 is an abundant number, since it is smaller than the sum of its proper divisors (1633463530180).

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

1211303143100 is a wasteful number, since it uses less digits than its factorization.

1211303143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216888 (or 216881 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1211303143100 its reverse (13413031121), we get a palindrome (1224716174221).

The spelling of 1211303143100 in words is "one trillion, two hundred eleven billion, three hundred three million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 41 47 50 58 82 94 100 116 145 164 188 205 235 290 410 470 580 725 820 940 1025 1175 1189 1363 1450 1927 2050 2350 2378 2726 2900 3854 4100 4700 4756 5452 5945 6815 7708 9635 11890 13630 19270 23780 27260 29725 34075 38540 48175 55883 59450 68150 96350 111766 118900 136300 192700 216757 223532 279415 433514 558830 867028 1083785 1117660 1397075 2167570 2794150 4335140 5418925 5588300 6285953 8887037 10187579 10837850 12571906 17774074 20375158 21675700 25143812 31429765 35548148 40750316 44435185 50937895 62859530 88870370 101875790 125719060 157148825 177740740 203751580 222175925 254689475 257724073 295439791 314297650 417690739 444351850 509378950 515448146 590879582 628595300 835381478 888703700 1018757900 1030896292 1181759164 1288620365 1477198955 1670762956 2088453695 2577240730 2954397910 4176907390 5154481460 5908795820 6443101825 7385994775 8353814780 10442268475 12113031431 12886203650 14771989550 20884536950 24226062862 25772407300 29543979100 41769073900 48452125724 60565157155 121130314310 242260628620 302825785775 605651571550 1211303143100