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101161494 = 2337318997
BaseRepresentation
bin1100000011110…
…01101000010110
321001100112111000
412001321220112
5201344131434
614012124130
72335600320
oct601715026
9231315430
10101161494
1152115145
1229a66646
1317c5c395
14d614610
158d33b99
hex6079a16

101161494 has 128 divisors (see below), whose sum is σ = 270950400. Its totient is φ = 27371520.

The previous prime is 101161493. The next prime is 101161517. The reversal of 101161494 is 494161101.

101161494 is a `hidden beast` number, since 10 + 1 + 161 + 494 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101161493) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1042854 + ... + 1042950.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2101161494 is an apocalyptic number.

101161494 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101161494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

101161494 is an abundant number, since it is smaller than the sum of its proper divisors (169788906).

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

101161494 is a wasteful number, since it uses less digits than its factorization.

101161494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101161494 is about 10057.9070387432. The cubic root of 101161494 is about 465.9490295274.

The spelling of 101161494 in words is "one hundred one million, one hundred sixty-one thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 89 93 97 126 178 186 189 194 217 267 279 291 378 434 534 558 582 623 651 679 801 837 873 1246 1302 1358 1602 1674 1746 1869 1953 2037 2403 2619 2759 3007 3738 3906 4074 4806 5238 5518 5607 5859 6014 6111 8277 8633 9021 11214 11718 12222 16554 16821 17266 18042 18333 19313 21049 24831 25899 27063 33642 36666 38626 42098 49662 51798 54126 57939 60431 63147 74493 77697 81189 115878 120862 126294 148986 155394 162378 173817 181293 189441 233091 267623 347634 362586 378882 466182 521451 535246 543879 568323 802869 1042902 1087758 1136646 1605738 1631637 1873361 2408607 3263274 3746722 4817214 5620083 7225821 11240166 14451642 16860249 33720498 50580747 101161494