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10142412256025 = 527259210921821
BaseRepresentation
bin1001001110010111011011…
…1000010011001100011001
31022220121100011000102202022
42103211312320103030121
52312133130014143100
633323205421544225
72064523300504100
oct223456670231431
938817304012668
1010142412256025
113260411340885
121179801415075
1358756b70783a
14270c76c8b037
15128c6280be85
hex93976e13319

10142412256025 has 108 divisors (see below), whose sum is σ = 15019300717740. Its totient is φ = 6773884588800.

The previous prime is 10142412256013. The next prime is 10142412256061. The reversal of 10142412256025 is 52065221424101.

10142412256025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 461218576 + 10141951037449 = 21476^2 + 3184643^2 .

It is not a de Polignac number, because 10142412256025 - 26 = 10142412255961 is a prime.

It is a super-2 number, since 2×101424122560252 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 464789615 + ... + 464811435.

Almost surely, 210142412256025 is an apocalyptic number.

It is an amenable number.

10142412256025 is a deficient number, since it is larger than the sum of its proper divisors (4876888461715).

10142412256025 is a wasteful number, since it uses less digits than its factorization.

10142412256025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22072 (or 22001 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 10142412256025 in words is "ten trillion, one hundred forty-two billion, four hundred twelve million, two hundred fifty-six thousand, twenty-five".

Divisors: 1 5 7 25 35 49 59 109 175 245 295 413 545 763 1225 1475 2065 2725 2891 3481 3815 5341 6431 10325 14455 17405 19075 21821 24367 26705 32155 45017 72275 87025 109105 121835 133525 152747 160775 170569 225085 315119 379429 545525 609175 763735 852845 1069229 1125425 1287439 1575595 1897145 2378489 2656003 3818675 4264225 5346145 6437195 7877975 9012073 9485725 11892445 13280015 16649423 18592021 26730725 32185975 45060365 59462225 63084511 66400075 75958901 83247115 92960105 116545961 140330851 225301825 315422555 379794505 416235575 464800525 531712307 582729805 701654255 982315957 1577112775 1898972525 2658561535 2913649025 3508271275 3721986149 4911579785 6876211699 8279520209 13292807675 18609930745 24557898925 34381058495 41397601045 57956641463 93049653725 171905292475 206988005225 289783207315 405696490241 1448916036575 2028482451205 10142412256025