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1030032221100 = 2235241431947499
BaseRepresentation
bin11101111110100101011…
…01000110001110101100
310122110200201100022220020
432333102231012032230
5113334001222033400
62105105033122140
7134263105263651
oct16772255061654
93573621308806
101030032221100
1136791a377133
12147763859350
137619323287c
1437bd4c7bc28
151bbd81072a0
hexefd2b463ac

1030032221100 has 144 divisors (see below), whose sum is σ = 3123914640000. Its totient is φ = 261743731200.

The previous prime is 1030032221089. The next prime is 1030032221107. The reversal of 1030032221100 is 11222300301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1030032221100.

It is not an unprimeable number, because it can be changed into a prime (1030032221107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444850 + ... + 1502649.

Almost surely, 21030032221100 is an apocalyptic number.

1030032221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030032221100 is an abundant number, since it is smaller than the sum of its proper divisors (2093882418900).

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

1030032221100 is a wasteful number, since it uses less digits than its factorization.

1030032221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947600 (or 1947593 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1030032221100 its reverse (11222300301), we get a palindrome (1041254521401).

The spelling of 1030032221100 in words is "one trillion, thirty billion, thirty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 43 50 60 75 82 86 100 123 129 150 164 172 205 215 246 258 300 410 430 492 516 615 645 820 860 1025 1075 1230 1290 1763 2050 2150 2460 2580 3075 3225 3526 4100 4300 5289 6150 6450 7052 8815 10578 12300 12900 17630 21156 26445 35260 44075 52890 88150 105780 132225 176300 264450 528900 1947499 3894998 5842497 7789996 9737495 11684994 19474990 23369988 29212485 38949980 48687475 58424970 79847459 83742457 97374950 116849940 146062425 159694918 167484914 194749900 239542377 251227371 292124850 319389836 334969828 399237295 418712285 479084754 502454742 584249700 798474590 837424570 958169508 1004909484 1197711885 1256136855 1596949180 1674849140 1996186475 2093561425 2395423770 2512273710 3433440737 3992372950 4187122850 4790847540 5024547420 5988559425 6280684275 6866881474 7984745900 8374245700 10300322211 11977118850 12561368550 13733762948 17167203685 20600644422 23954237700 25122737100 34334407370 41201288844 51501611055 68668814740 85836018425 103003222110 171672036850 206006444220 257508055275 343344073700 515016110550 1030032221100