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123300001881 = 32722327272
BaseRepresentation
bin111001011010101000…
…0001011100001011001
3102210020222201002001100
41302311100023201121
54010004300030011
6132350534542013
711623326503100
oct1626520134131
9383228632040
10123300001881
1148322700401
121ba90b07909
13b81ca9a4c4
145d79723037
153319a58d56
hex1cb540b859

123300001881 has 81 divisors (see below), whose sum is σ = 216875228661. Its totient is φ = 67301088624.

The previous prime is 123300001861. The next prime is 123300001883. The reversal of 123300001881 is 188100003321.

The square root of 123300001881 is 351141.

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

It is not a de Polignac number, because 123300001881 - 223 = 123291613273 is a prime.

It is a super-2 number, since 2×1233000018812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123300001883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 169600740 + ... + 169601466.

Almost surely, 2123300001881 is an apocalyptic number.

123300001881 is the 351141-st square number.

123300001881 is the 175571-st centered octagonal number.

It is an amenable number.

123300001881 is a deficient number, since it is larger than the sum of its proper divisors (93575226780).

123300001881 is an frugal number, since it uses more digits than its factorization.

123300001881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 123300001881 in words is "one hundred twenty-three billion, three hundred million, one thousand, eight hundred eighty-one".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 441 483 529 727 1127 1449 1587 2181 3381 3703 4761 5089 6543 10143 11109 15267 16721 25921 33327 35623 45801 50163 77763 106869 117047 150489 233289 320607 351141 384583 528529 819329 1053423 1153749 1585587 2457987 2692081 3461247 3699703 4756761 7373961 8076243 11099109 12156167 18844567 24228729 25897921 33297327 36468501 56533701 77693763 85093169 109405503 169601103 233081289 255279507 279591841 595652183 765838521 838775523 1786956549 1957142887 2516326569 5360869647 5871428661 13700000209 17614285983 41100000627 123300001881