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1221034100 = 22521113103829
BaseRepresentation
bin100100011000111…
…1000000001110100
310011002120221220012
41020301320001310
510000041042400
6321054555352
742154422116
oct11061700164
93132527805
101221034100
11577272aa0
122a0b08b58
13165c7a4b0
14b82473b6
15722e2d35
hex48c78074

1221034100 has 144 divisors (see below), whose sum is σ = 3146881920. Its totient is φ = 405388800.

The previous prime is 1221034099. The next prime is 1221034117. The reversal of 1221034100 is 14301221.

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, 1472486 + ... + 1473314.

Almost surely, 21221034100 is an apocalyptic number.

1221034100 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 1221034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573440960).

1221034100 is an abundant number, since it is smaller than the sum of its proper divisors (1925847820).

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

1221034100 is a wasteful number, since it uses less digits than its factorization.

1221034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1221034100 is about 34943.2983560510. The cubic root of 1221034100 is about 1068.8315483299.

Adding to 1221034100 its reverse (14301221), we get a palindrome (1235335321).

The spelling of 1221034100 in words is "one billion, two hundred twenty-one million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 103 110 130 143 206 220 260 275 286 325 412 515 550 572 650 715 829 1030 1100 1133 1300 1339 1430 1658 2060 2266 2575 2678 2860 3316 3575 4145 4532 5150 5356 5665 6695 7150 8290 9119 10300 10777 11330 13390 14300 14729 16580 18238 20725 21554 22660 26780 28325 29458 33475 36476 41450 43108 45595 53885 56650 58916 66950 73645 82900 85387 91190 107770 113300 118547 133900 147290 170774 182380 215540 227975 237094 269425 294580 341548 368225 426935 455950 474188 538850 592735 736450 853870 911900 939257 1077700 1110031 1185470 1472900 1707740 1878514 2134675 2220062 2370940 2963675 3757028 4269350 4440124 4696285 5550155 5927350 8538700 9392570 11100310 11854700 12210341 18785140 22200620 23481425 24420682 27750775 46962850 48841364 55501550 61051705 93925700 111003100 122103410 244206820 305258525 610517050 1221034100