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110001101000058 = 23319563190432591
BaseRepresentation
bin11001000000101110100000…
…100011001100110101111010
3112102111000001212021101021000
4121000232200203030311322
5103404224223324000213
61025541450322025430
732112213554046342
oct3100564043146572
9472430055241230
10110001101000058
11320602288788a4
1210406b4a1a8276
13494c0a0412398
141d2412025dd22
15cab5ab1e4c73
hex640ba08ccd7a

110001101000058 has 64 divisors (see below), whose sum is σ = 257769556531200. Its totient is φ = 34675489447920.

The previous prime is 110001101000003. The next prime is 110001101000059. The reversal of 110001101000058 is 850000101100011.

It is a happy number.

It is a super-3 number, since 3×1100011010000583 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 110001101000058.

It is not an unprimeable number, because it can be changed into a prime (110001101000059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94638658 + ... + 95793933.

It is an arithmetic number, because the mean of its divisors is an integer number (4027649320800).

Almost surely, 2110001101000058 is an apocalyptic number.

110001101000058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

110001101000058 is an abundant number, since it is smaller than the sum of its proper divisors (147768455531142).

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

110001101000058 is a wasteful number, since it uses less digits than its factorization.

110001101000058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190433184 (or 190433178 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 18.

Adding to 110001101000058 its reverse (850000101100011), we get a palindrome (960001202100069).

The spelling of 110001101000058 in words is "one hundred ten trillion, one billion, one hundred one million, fifty-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 563 1026 1126 1689 3378 5067 10134 10697 15201 21394 30402 32091 64182 96273 192546 288819 577638 190432591 380865182 571297773 1142595546 1713893319 3427786638 3618219229 5141679957 7236438458 10283359914 10854657687 21709315374 32563973061 65127946122 97691919183 107213548733 195383838366 214427097466 321640646199 643281292398 964921938597 1929843877194 2037057425927 2894765815791 4074114851854 5789531631582 6111172277781 12222344555562 18333516833343 36667033666686 55000550500029 110001101000058