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103220323020 = 223251937815713
BaseRepresentation
bin110000000100001101…
…0010010001011001100
3100212102121020200221200
41200020122102023030
53142343400314040
6115230241425500
710312616161233
oct1401032221314
9325377220850
10103220323020
113a8591aa491
121800833b290
13996ca45719
144dd2a19b1a
152a41cee630
hex18086922cc

103220323020 has 144 divisors (see below), whose sum is σ = 338488681440. Its totient is φ = 25371906048.

The previous prime is 103220322979. The next prime is 103220323021. The reversal of 103220323020 is 20323022301.

It is a happy number.

103220323020 is a `hidden beast` number, since 1 + 0 + 322 + 0 + 323 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103220322984 and 103220323002.

It is not an unprimeable number, because it can be changed into a prime (103220323021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281317 + ... + 534396.

Almost surely, 2103220323020 is an apocalyptic number.

103220323020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103220323020 is an abundant number, since it is smaller than the sum of its proper divisors (235268358420).

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

103220323020 is a wasteful number, since it uses less digits than its factorization.

103220323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815784 (or 815779 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 103220323020 its reverse (20323022301), we get a palindrome (123543345321).

The spelling of 103220323020 in words is "one hundred three billion, two hundred twenty million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 37 38 45 57 60 74 76 90 95 111 114 148 171 180 185 190 222 228 285 333 342 370 380 444 555 570 666 684 703 740 855 1110 1140 1332 1406 1665 1710 2109 2220 2812 3330 3420 3515 4218 6327 6660 7030 8436 10545 12654 14060 21090 25308 31635 42180 63270 126540 815713 1631426 2447139 3262852 4078565 4894278 7341417 8157130 9788556 12235695 14682834 15498547 16314260 24471390 29365668 30181381 30997094 36707085 46495641 48942780 60362762 61994188 73414170 77492735 90544143 92991282 120725524 139486923 146828340 150906905 154985470 181088286 185982564 232478205 271632429 278973846 301813810 309970940 362176572 452720715 464956410 543264858 557947692 573446239 603627620 697434615 905441430 929912820 1086529716 1146892478 1358162145 1394869230 1720338717 1810882860 2293784956 2716324290 2789738460 2867231195 3440677434 5161016151 5432648580 5734462390 6881354868 8601693585 10322032302 11468924780 17203387170 20644064604 25805080755 34406774340 51610161510 103220323020