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1032100221330 = 2325411092566073
BaseRepresentation
bin11110000010011011111…
…01111001000110010010
310122200000211122121220100
433001031331321012102
5113402220124040310
62110050145353230
7134365256063103
oct17011575710622
93580024577810
101032100221330
11368790739332
12148040338816
13764327c8449
1437d4d7983aa
151bca994cec0
hexf04df79192

1032100221330 has 96 divisors (see below), whose sum is σ = 2774131279920. Its totient is φ = 266050344960.

The previous prime is 1032100221329. The next prime is 1032100221331. The reversal of 1032100221330 is 331220012301.

1032100221330 is a `hidden beast` number, since 10 + 3 + 2 + 100 + 221 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (1032100221329) and next prime (1032100221331).

It can be written as a sum of positive squares in 8 ways, for example, as 86575412169 + 945524809161 = 294237^2 + 972381^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1032100221331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880827 + ... + 1685246.

Almost surely, 21032100221330 is an apocalyptic number.

1032100221330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1032100221330 is an abundant number, since it is smaller than the sum of its proper divisors (1742031058590).

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

1032100221330 is a wasteful number, since it uses less digits than its factorization.

1032100221330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566236 (or 2566233 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1032100221330 its reverse (331220012301), we get a palindrome (1363320233631).

The spelling of 1032100221330 in words is "one trillion, thirty-two billion, one hundred million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 109 123 205 218 246 327 369 410 545 615 654 738 981 1090 1230 1635 1845 1962 3270 3690 4469 4905 8938 9810 13407 22345 26814 40221 44690 67035 80442 134070 201105 402210 2566073 5132146 7698219 12830365 15396438 23094657 25660730 38491095 46189314 76982190 105208993 115473285 210417986 230946570 279701957 315626979 526044965 559403914 631253958 839105871 946880937 1052089930 1398509785 1578134895 1678211742 1893761874 2517317613 2797019570 3156269790 4195529355 4734404685 5034635226 8391058710 9468809370 11467780237 12586588065 22935560474 25173176130 34403340711 57338901185 68806681422 103210022133 114677802370 172016703555 206420044266 344033407110 516050110665 1032100221330