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1830138931971 = 327313976613571
BaseRepresentation
bin11010101000011100110…
…001111110101100000011
320110221220112021112200100
4122220130301332230003
5214441111031310341
63520430524453443
7246136356151260
oct32503461765403
96427815245610
101830138931971
11646180796329
122568399aa283
1310377333246c
1464817460267
15329159773b6
hex1aa1cc7eb03

1830138931971 has 96 divisors (see below), whose sum is σ = 3132101513216. Its totient is φ = 1007699616000.

The previous prime is 1830138931963. The next prime is 1830138931991. The reversal of 1830138931971 is 1791398310381.

1830138931971 is a `hidden beast` number, since 18 + 301 + 3 + 8 + 9 + 319 + 7 + 1 = 666.

It is not a de Polignac number, because 1830138931971 - 23 = 1830138931963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1830138931931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 512498616 + ... + 512502186.

Almost surely, 21830138931971 is an apocalyptic number.

1830138931971 is a deficient number, since it is larger than the sum of its proper divisors (1301962581245).

1830138931971 is a wasteful number, since it uses less digits than its factorization.

1830138931971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 1830138931971 in words is "one trillion, eight hundred thirty billion, one hundred thirty-eight million, nine hundred thirty-one thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 21 31 63 93 217 279 397 651 661 1191 1953 1983 2779 3571 3573 4627 5949 8337 10713 12307 13881 20491 24997 25011 32139 36921 41643 61473 74991 86149 110701 110763 143437 184419 224973 258447 262417 332103 430311 774907 775341 787251 996309 1290933 1417687 1836919 2324721 2360431 2361753 4253061 5510757 6974163 7081293 8134927 9923809 12759183 16523017 16532271 21243879 24404781 29771427 43948297 49569051 56944489 73173361 73214343 89314281 131844891 148707153 170833467 219520083 307638079 395534673 512213527 512500401 658560249 922914237 937091107 1536640581 2768742711 2811273321 4609921743 6559637749 8433819963 19678913247 29049824317 59036739741 87149472951 203348770219 261448418853 610046310657 1830138931971