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161310018100 = 225271120949353
BaseRepresentation
bin1001011000111011010…
…0111000101000110100
3120102100222020221222211
42112032310320220310
510120330331034400
6202034345303204
714440261346650
oct2261664705064
9512328227884
10161310018100
1162458333150
122731a494b04
13122997a176a
147b438c1a60
1542e19aadba
hex258ed38a34

161310018100 has 72 divisors (see below), whose sum is σ = 436416942528. Its totient is φ = 50278444800.

The previous prime is 161310018071. The next prime is 161310018109. The reversal of 161310018100 is 1810013161.

It is a super-2 number, since 2×1613100181002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161310018109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10466977 + ... + 10482376.

It is an arithmetic number, because the mean of its divisors is an integer number (6061346424).

Almost surely, 2161310018100 is an apocalyptic number.

161310018100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161310018100 is an abundant number, since it is smaller than the sum of its proper divisors (275106924428).

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

161310018100 is a wasteful number, since it uses less digits than its factorization.

161310018100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20949385 (or 20949378 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 161310018100 in words is "one hundred sixty-one billion, three hundred ten million, eighteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 20949353 41898706 83797412 104746765 146645471 209493530 230442883 293290942 418987060 460885766 523733825 586581884 733227355 921771532 1047467650 1152214415 1466454710 1613100181 2094935300 2304428830 2932909420 3226200362 3666136775 4608857660 5761072075 6452400724 7332273550 8065500905 11522144150 14664547100 16131001810 23044288300 32262003620 40327504525 80655009050 161310018100