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10021552230402 = 234612693376577
BaseRepresentation
bin1001000111010101001100…
…0011111001000000000010
31022111001101012112222220000
42101311103003321000002
52303143114332333102
633151500524100430
72053014256313256
oct221652303710002
938431335488800
1010021552230402
113214130a77789
12115a2b1694716
1357904a2b1a8b
1426908d632266
15125a3c0c401c
hex91d530f9002

10021552230402 has 80 divisors (see below), whose sum is σ = 22832362476792. Its totient is φ = 3284525998080.

The previous prime is 10021552230397. The next prime is 10021552230407. The reversal of 10021552230402 is 20403225512001.

10021552230402 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 5 + 5 + 2 + 230 + 402 = 666.

It is an interprime number because it is at equal distance from previous prime (10021552230397) and next prime (10021552230407).

It can be written as a sum of positive squares in 4 ways, for example, as 7278292104561 + 2743260125841 = 2697831^2 + 1656279^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10021552230407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26423938 + ... + 26800514.

Almost surely, 210021552230402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021552230402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416181238396).

10021552230402 is an abundant number, since it is smaller than the sum of its proper divisors (12810810246390).

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

10021552230402 is a wasteful number, since it uses less digits than its factorization.

10021552230402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379345 (or 379336 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10021552230402 its reverse (20403225512001), we get a palindrome (30424777742403).

The spelling of 10021552230402 in words is "ten trillion, twenty-one billion, five hundred fifty-two million, two hundred thirty thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 1098 1647 2693 3294 4941 5386 8079 9882 16158 24237 48474 72711 145422 164273 218133 328546 376577 436266 492819 753154 985638 1129731 1478457 2259462 2956914 3389193 4435371 6778386 8870742 10167579 13306113 20335158 22971197 26612226 30502737 45942394 61005474 68913591 137827182 206740773 413481546 620222319 1014121861 1240444638 1860666957 2028243722 3042365583 3721333914 6084731166 9127096749 18254193498 27381290247 54762580494 61861433521 82143870741 123722867042 164287741482 185584300563 371168601126 556752901689 1113505803378 1670258705067 3340517410134 5010776115201 10021552230402