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1030121332121 = 72318311297237
BaseRepresentation
bin11101111110110000000…
…01000001110110011001
310122110220221000122020102
432333120001001312121
5113334142030111441
62105121535105145
7134265236564600
oct16773001016631
93573827018212
101030121332121
11367965700602
121477896721b5
13761a8832c9b
1437c02a36a37
151bbe0d5a69b
hexefd8041d99

1030121332121 has 48 divisors (see below), whose sum is σ = 1253144471040. Its totient is φ = 843319330560.

The previous prime is 1030121332111. The next prime is 1030121332129. The reversal of 1030121332121 is 1212331210301.

It is a happy number.

1030121332121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1030121332121 - 218 = 1030121069977 is a prime.

It is a super-2 number, since 2×10301213321212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030121332093 and 1030121332102.

It is not an unprimeable number, because it can be changed into a prime (1030121332129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142337315 + ... + 142344551.

It is an arithmetic number, because the mean of its divisors is an integer number (26107176480).

Almost surely, 21030121332121 is an apocalyptic number.

It is an amenable number.

1030121332121 is a deficient number, since it is larger than the sum of its proper divisors (223023138919).

1030121332121 is a wasteful number, since it uses less digits than its factorization.

1030121332121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8494 (or 8487 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1030121332121 its reverse (1212331210301), we get a palindrome (2242452542422).

The spelling of 1030121332121 in words is "one trillion, thirty billion, one hundred twenty-one million, three hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 7 31 49 83 217 581 1129 1519 2573 4067 7237 7903 18011 34999 50659 55321 93707 126077 224347 244993 354613 600671 655949 1570429 1714951 2904917 4204697 4591643 8170573 10993003 18620801 20334419 29432879 57194011 130345607 142340933 253287763 400358077 678157559 912419249 1773014341 4747102913 12411100387 21022884329 33229720391 147160190303 1030121332121