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1010141322525 = 35523713732803
BaseRepresentation
bin11101011001100010001…
…11010101110100011101
310120120100111002222200000
432230301013111310131
5113022232134310100
62052015202124513
7132660146400006
oct16546107256435
93516314088600
101010141322525
1135a442495685
12143932350739
13743433372ba
1436c692761ad
151b421c3c900
hexeb311d5d1d

1010141322525 has 144 divisors (see below), whose sum is σ = 1941120801984. Its totient is φ = 520339438080.

The previous prime is 1010141322521. The next prime is 1010141322581. The reversal of 1010141322525 is 5252231410101.

It is a happy number.

1010141322525 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 4 + 132 + 2 + 525 = 666.

It is not a de Polignac number, because 1010141322525 - 22 = 1010141322521 is a prime.

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 (1010141322521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30777774 + ... + 30810576.

Almost surely, 21010141322525 is an apocalyptic number.

1010141322525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010141322525 is a deficient number, since it is larger than the sum of its proper divisors (930979479459).

1010141322525 is a wasteful number, since it uses less digits than its factorization.

1010141322525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33002 (or 32985 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 1010141322525 its reverse (5252231410101), we get a palindrome (6262372732626).

The spelling of 1010141322525 in words is "one trillion, ten billion, one hundred forty-one million, three hundred twenty-two thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 37 45 75 81 111 135 137 185 225 243 333 405 411 555 675 685 925 999 1215 1233 1665 2025 2055 2775 2997 3425 3699 4995 5069 6075 6165 8325 8991 10275 11097 14985 15207 18495 24975 25345 30825 32803 33291 44955 45621 55485 74925 76035 92475 98409 126725 136863 164015 166455 224775 228105 277425 295227 380175 410589 492045 684315 820075 832275 885681 1140525 1213711 1231767 1476135 2052945 2460225 2657043 3421575 3641133 4428405 4494011 6068555 6158835 7380675 7971129 10264725 10923399 13285215 13482033 18205665 22142025 22470055 30342775 30794175 32770197 39855645 40446099 54616995 66426075 67410165 91028325 98310591 112350275 121338297 163850985 166278407 199278225 202230495 273084975 294931773 337050825 364014891 491552955 498835221 606691485 819254925 831392035 1011152475 1092044673 1474658865 1496505663 1820074455 2457764775 2494176105 3033457425 4156960175 4489516989 5460223365 7373294325 7482528315 9100372275 12470880525 13468550967 22447584945 27301116825 37412641575 40405652901 67342754835 112237924725 202028264505 336713774175 1010141322525