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220103421900 = 223526747922861
BaseRepresentation
bin1100110011111100101…
…1111010111111001100
3210001010101102022220220
43030333023322333030
512101232434000100
6245040352111340
721621240134325
oct3147713727714
9701111368826
10220103421900
118538870966a
12367a8235550
13179a9267cab
14a92000944c
155ad331daa0
hex333f2fafcc

220103421900 has 144 divisors (see below), whose sum is σ = 647715210240. Its totient is φ = 57694982400.

The previous prime is 220103421871. The next prime is 220103421911. The reversal of 220103421900 is 9124301022.

It is a super-2 number, since 2×2201034219002 (a number of 23 digits) contains 22 as substring.

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, 9616470 + ... + 9639330.

Almost surely, 2220103421900 is an apocalyptic number.

220103421900 is a gapful number since it is divisible by the number (20) 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 220103421900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323857605120).

220103421900 is an abundant number, since it is smaller than the sum of its proper divisors (427611788340).

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

220103421900 is a wasteful number, since it uses less digits than its factorization.

220103421900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23424 (or 23417 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 220103421900 its reverse (9124301022), we get a palindrome (229227722922).

The spelling of 220103421900 in words is "two hundred twenty billion, one hundred three million, four hundred twenty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 479 670 804 958 1005 1340 1437 1675 1916 2010 2395 2874 3350 4020 4790 5025 5748 6700 7185 9580 10050 11975 14370 20100 22861 23950 28740 32093 35925 45722 47900 64186 68583 71850 91444 96279 114305 128372 137166 143700 160465 192558 228610 274332 320930 342915 385116 457220 481395 571525 641860 685830 802325 962790 1143050 1371660 1531687 1604650 1714575 1925580 2286100 2406975 3063374 3209300 3429150 4595061 4813950 6126748 6858300 7658435 9190122 9627900 10950419 15316870 18380244 21900838 22975305 30633740 32851257 38292175 43801676 45950610 54752095 65702514 76584350 91901220 109504190 114876525 131405028 153168700 164256285 219008380 229753050 273760475 328512570 459506100 547520950 657025140 733678073 821281425 1095041900 1467356146 1642562850 2201034219 2934712292 3285125700 3668390365 4402068438 7336780730 8804136876 11005171095 14673561460 18341951825 22010342190 36683903650 44020684380 55025855475 73367807300 110051710950 220103421900