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1010223542124 = 2232298997112087
BaseRepresentation
bin11101011001101100000…
…00111110111101101100
310120120120012211011202100
432230312000332331230
5113022414211321444
62052031300255100
7132662165266206
oct16546600767554
93516505734670
101010223542124
1135a484942465
121439559a1490
1374357393a54
1436c76159776
151b42907de69
hexeb3603ef6c

1010223542124 has 144 divisors (see below), whose sum is σ = 2698922116800. Its totient is φ = 318159249408.

The previous prime is 1010223542117. The next prime is 1010223542171. The reversal of 1010223542124 is 4212453220101.

1010223542124 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 235 + 421 + 2 + 4 = 666.

It is a super-2 number, since 2×10102235421242 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8956809 + ... + 9068895.

It is an arithmetic number, because the mean of its divisors is an integer number (18742514700).

Almost surely, 21010223542124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010223542124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349461058400).

1010223542124 is an abundant number, since it is smaller than the sum of its proper divisors (1688698574676).

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

1010223542124 is a wasteful number, since it uses less digits than its factorization.

1010223542124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112312 (or 112307 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1010223542124 its reverse (4212453220101), we get a palindrome (5222676762225).

The spelling of 1010223542124 in words is "one trillion, ten billion, two hundred twenty-three million, five hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 89 97 116 174 178 194 261 267 291 348 356 388 522 534 582 801 873 1044 1068 1164 1602 1746 2581 2813 3204 3492 5162 5626 7743 8439 8633 10324 11252 15486 16878 17266 23229 25317 25899 30972 33756 34532 46458 50634 51798 77697 92916 101268 103596 112087 155394 224174 250357 310788 336261 448348 500714 672522 751071 1001428 1008783 1345044 1502142 2017566 2253213 3004284 3250523 4035132 4506426 6501046 9012852 9751569 9975743 10872439 13002092 19503138 19951486 21744878 29254707 29927229 32617317 39006276 39902972 43489756 58509414 59854458 65234634 89781687 97851951 117018828 119708916 130469268 179563374 195703902 289296547 315300731 359126748 391407804 578593094 630601462 867889641 945902193 967647071 1157186188 1261202924 1735779282 1891804386 1935294142 2603668923 2837706579 2902941213 3471558564 3783608772 3870588284 5207337846 5675413158 5805882426 8708823639 10414675692 11350826316 11611764852 17417647278 28061765059 34835294556 56123530118 84185295177 112247060236 168370590354 252555885531 336741180708 505111771062 1010223542124