Search a number
-
+
1932097220001 = 3213229212292
BaseRepresentation
bin11100000111011001111…
…101111110110110100001
320211201002011210020002100
4130013121331332312201
5223123413342020001
64035332044441013
7256406112253314
oct34073175766641
96751064706070
101932097220001
11685441569193
12272553549169
13110271773400
146972a5dc97b
15353d1a85586
hex1c1d9f7eda1

1932097220001 has 81 divisors (see below), whose sum is σ = 3132347084139. Its totient is φ = 1147049414784.

The previous prime is 1932097219993. The next prime is 1932097220017. The reversal of 1932097220001 is 1000227902391.

The square root of 1932097220001 is 1389999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 412607099025 + 1519490120976 = 642345^2 + 1232676^2 .

It is not a de Polignac number, because 1932097220001 - 23 = 1932097219993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1932097220401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1572088255 + ... + 1572089483.

Almost surely, 21932097220001 is an apocalyptic number.

1932097220001 is the 1389999-th square number.

1932097220001 is the 695000-th centered octagonal number.

It is an amenable number.

1932097220001 is a deficient number, since it is larger than the sum of its proper divisors (1200249864138).

1932097220001 is an equidigital number, since it uses as much as digits as its factorization.

1932097220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Multiplying 1932097220001 by its sum of digits (36), we get a square (69555499920036 = 83399942).

It can be divided in two parts, 19320 and 97220001, that added together give a square (97239321 = 98612).

The spelling of 1932097220001 in words is "one trillion, nine hundred thirty-two billion, ninety-seven million, two hundred twenty thousand, one".

Divisors: 1 3 9 13 29 39 87 117 169 261 377 507 841 1131 1229 1521 2523 3393 3687 4901 7569 10933 11061 14703 15977 32799 35641 44109 47931 98397 106923 142129 143793 207701 320769 426387 463333 623103 1033589 1279161 1389999 1510441 1869309 3100767 4169997 4531323 6023329 9302301 13436657 13593969 18069987 19635733 40309971 43802789 54209961 58907199 120929913 131408367 174676541 176721597 255264529 394225101 524029623 569436257 765793587 1270280881 1572088869 1708308771 2297380761 3810842643 5124926313 7402671341 11432527929 16513651453 22208014023 49540954359 66624042069 148622863077 214677468889 644032406667 1932097220001