Search a number
-
+
980220001221121 = 19318954172747543
BaseRepresentation
bin1101111011100000010100000…
…0111110010111101000000001
311202112200010011020210210000011
43132320011000332113220001
52011434411030303033441
613352430504011024521
7413316362261535613
oct33670050076275001
94675603136723004
10980220001221121
11264367a71452211
1291b3125313b141
13330c4470aa74ab
141340ac88c5cdb3
15784cb897e7581
hex37b8140f97a01

980220001221121 has 64 divisors (see below), whose sum is σ = 1080559949414400. Its totient is φ = 885695137113600.

The previous prime is 980220001221103. The next prime is 980220001221137. The reversal of 980220001221121 is 121122100022089.

It is a cyclic number.

It is not a de Polignac number, because 980220001221121 - 237 = 980082562267649 is a prime.

It is a super-2 number, since 2×9802200012211212 (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (980220001221191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20617522476 + ... + 20617570018.

It is an arithmetic number, because the mean of its divisors is an integer number (16883749209600).

Almost surely, 2980220001221121 is an apocalyptic number.

It is an amenable number.

980220001221121 is a deficient number, since it is larger than the sum of its proper divisors (100339948193279).

980220001221121 is a wasteful number, since it uses less digits than its factorization.

980220001221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48950.

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 980220001221121 in words is "nine hundred eighty trillion, two hundred twenty billion, one million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 19 31 89 541 589 727 1691 2759 10279 13813 16771 22537 47543 48149 52421 64703 318649 393307 428203 903317 914831 1229357 1473833 1492619 2005793 4231327 7472833 12192517 25720763 28002827 28359761 34563761 35004323 38110067 80395213 131171137 231657823 488694497 656711459 665082137 797343653 1071476591 1085134013 2289147907 2492251603 3076174729 15149529407 18698994701 20358055229 20617546247 43493810233 58447319851 70963585117 95361416599 355280899319 579668835731 1348308117223 1664210528389 1811866915381 11013707878889 31620000039391 51590526380059 980220001221121