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1054430221130 = 2511136113039277
BaseRepresentation
bin11110101100000001111…
…00000101001101001010
310201210200001111010222222
433112000330011031022
5114233433114034010
62124222031014042
7136115522666246
oct17260074051512
93653601433888
101054430221130
113771aa409720
1215043266a322
1378580b20090
143906b2bb426
151c665014355
hexf580f0534a

1054430221130 has 128 divisors (see below), whose sum is σ = 2268325817856. Its totient is φ = 347827737600.

The previous prime is 1054430221127. The next prime is 1054430221199. The reversal of 1054430221130 is 311220344501.

It is a happy number.

It is a super-2 number, since 2×10544302211302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1054430221130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113656052 + ... + 113665328.

It is an arithmetic number, because the mean of its divisors is an integer number (17721295452).

Almost surely, 21054430221130 is an apocalyptic number.

1054430221130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1054430221130 is an abundant number, since it is smaller than the sum of its proper divisors (1213895596726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1054430221130 is a wasteful number, since it uses less digits than its factorization.

1054430221130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10672.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 1054430221130 its reverse (311220344501), we get a palindrome (1365650565631).

The spelling of 1054430221130 in words is "one trillion, fifty-four billion, four hundred thirty million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 5 10 11 13 22 26 55 61 65 110 122 130 143 286 305 610 671 715 793 1303 1342 1430 1586 2606 3355 3965 6515 6710 7930 8723 9277 13030 14333 16939 17446 18554 28666 33878 43615 46385 71665 79483 84695 87230 92770 102047 120601 143330 158966 169390 186329 204094 241202 372658 397415 510235 565897 603005 794830 874313 931645 1020470 1033279 1131794 1206010 1326611 1748626 1863290 2066558 2653222 2829485 4371565 5166395 5658970 6224867 6633055 7356661 8743130 10332790 11366069 12087931 12449734 13266110 14713322 22732138 24175862 31124335 36783305 56830345 60439655 62248670 73566610 80923271 113660690 120879310 132967241 157143103 161846542 265934482 314286206 404616355 664836205 737363791 785715515 809232710 1329672410 1474727582 1571431030 1728574133 3457148266 3686818955 7373637910 8111001701 8642870665 9585729283 16222003402 17285741330 19171458566 40555008505 47928646415 81110017010 95857292830 105443022113 210886044226 527215110565 1054430221130