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187100137242 = 232173716525361
BaseRepresentation
bin1010111001000000001…
…0011000011100011010
3122212221022220202111200
42232100002120130122
511031140113342432
6221541433135030
716342341632454
oct2562002303432
9585838822450
10187100137242
11723921713a7
123031755a476
131484990b5a5
1490acb812d4
154d00c02a7c
hex2b9009871a

187100137242 has 48 divisors (see below), whose sum is σ = 440830556712. Its totient is φ = 57111644160.

The previous prime is 187100137223. The next prime is 187100137277. The reversal of 187100137242 is 242731001781.

187100137242 is a `hidden beast` number, since 187 + 100 + 1 + 372 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 183930334641 + 3169802601 = 428871^2 + 56301^2 .

It is a super-2 number, since 2×1871001372422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 187100137197 and 187100137206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8251359 + ... + 8274002.

Almost surely, 2187100137242 is an apocalyptic number.

187100137242 is an abundant number, since it is smaller than the sum of its proper divisors (253730419470).

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

187100137242 is a wasteful number, since it uses less digits than its factorization.

187100137242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16525423 (or 16525420 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 187100137242 in words is "one hundred eighty-seven billion, one hundred million, one hundred thirty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 11322 16525361 33050722 49576083 99152166 148728249 280931137 297456498 561862274 611438357 842793411 1222876714 1685586822 1834315071 2528380233 3668630142 5056760466 5502945213 10394452069 11005890426 20788904138 31183356207 62366712414 93550068621 187100137242