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1005505501021 = 72172195997653
BaseRepresentation
bin11101010000111001100…
…11000101011101011101
310120010101101222212002021
432220130303011131131
5112433233402013041
62045531200300141
7132434235511300
oct16503463053535
93503341885067
101005505501021
1135848370733a
12142a59911651
1373a84a87358
14369496d2b37
151b24ec70cd1
hexea1ccc575d

1005505501021 has 144 divisors (see below), whose sum is σ = 1345855089600. Its totient is φ = 746513252352.

The previous prime is 1005505501019. The next prime is 1005505501051. The reversal of 1005505501021 is 1201055055001.

It is not a de Polignac number, because 1005505501021 - 21 = 1005505501019 is a prime.

It is a super-2 number, since 2×10055055010212 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005505501001) 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, 1539824331 + ... + 1539824983.

It is an arithmetic number, because the mean of its divisors is an integer number (9346215900).

Almost surely, 21005505501021 is an apocalyptic number.

It is an amenable number.

1005505501021 is a deficient number, since it is larger than the sum of its proper divisors (340349588579).

1005505501021 is a wasteful number, since it uses less digits than its factorization.

1005505501021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 25.

The spelling of 1005505501021 in words is "one trillion, five billion, five hundred five million, five hundred one thousand, twenty-one".

Divisors: 1 7 17 19 49 59 97 119 133 289 323 413 653 679 833 931 1003 1121 1649 1843 2023 2261 2891 4571 4753 5491 5723 7021 7847 11101 11543 12407 12901 14161 15827 17051 19057 28033 31331 31997 38437 38527 40061 49147 54929 63341 77707 80801 86849 90307 97291 108737 119357 133399 188717 196231 210919 219317 269059 269689 280427 323969 443387 532627 543949 607943 654959 681037 732013 761159 835499 933793 1076797 1203479 1321019 1373617 1476433 1535219 1653947 1848529 1887823 2267783 3103709 3585623 3728389 3737119 4584713 4767259 5124091 5328113 7537579 8424353 9247133 10335031 11134303 11577629 12444221 12939703 15874481 18305549 20459143 25099361 26098723 26159833 31424993 32092991 35868637 52763053 58970471 63531023 71005261 77940121 81043403 87109547 90577921 128138843 143214001 175695527 183118831 211551757 219974951 347805431 444717161 497036827 545580847 609766829 896971901 1002498007 1080027391 1207089437 1480862299 1539824657 2434638017 3113020127 3479257789 7560191737 8449626059 10366036093 17042466119 20520520429 52921342159 59147382413 143643643003 1005505501021