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102052201455252 = 223225711030285501
BaseRepresentation
bin10111001101000011100001…
…001101110101111010010100
3111101100002120101102001202100
4113031003201031311322110
5101334010402033032002
61001014044550042100
730332012454533046
oct2715034115657224
9441302511361670
10102052201455252
112a576106253a14
12b542497949330
1344c363456ab79
141b2b4d252ba96
15bbe92a54a11c
hex5cd0e1375e94

102052201455252 has 36 divisors (see below), whose sum is σ = 258969043015956. Its totient is φ = 33885037056000.

The previous prime is 102052201455203. The next prime is 102052201455277. The reversal of 102052201455252 is 252554102250201.

102052201455252 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 52 + 2 + 0 + 1 + 4 + 552 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53254907379216 + 48797294076036 = 7297596^2 + 6985506^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1020522014552523 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5515133499 + ... + 5515152002.

It is an arithmetic number, because the mean of its divisors is an integer number (7193584528221).

Almost surely, 2102052201455252 is an apocalyptic number.

102052201455252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102052201455252 is an abundant number, since it is smaller than the sum of its proper divisors (156916841560704).

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

102052201455252 is a wasteful number, since it uses less digits than its factorization.

102052201455252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11030285768 (or 11030285763 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 102052201455252 in words is "one hundred two trillion, fifty-two billion, two hundred one million, four hundred fifty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 257 514 771 1028 1542 2313 3084 4626 9252 11030285501 22060571002 33090856503 44121142004 66181713006 99272569509 132363426012 198545139018 397090278036 2834783373757 5669566747514 8504350121271 11339133495028 17008700242542 25513050363813 34017400485084 51026100727626 102052201455252