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1011023000112 = 2431923109442193
BaseRepresentation
bin11101011011001011010…
…10101011001000110000
310120122121221010211221110
432231211222223020300
5113031033342000422
62052242455353320
7133021043464416
oct16554552531060
93518557124843
101011023000112
1135a855143044
12143b39682840
1374453bb7008
1436d103c32b6
151b47434a60c
hexeb65aab230

1011023000112 has 160 divisors (see below), whose sum is σ = 2895132556800. Its totient is φ = 302586679296.

The previous prime is 1011023000101. The next prime is 1011023000129. The reversal of 1011023000112 is 2110003201101.

1011023000112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2065288 + ... + 2507480.

It is an arithmetic number, because the mean of its divisors is an integer number (18094578480).

Almost surely, 21011023000112 is an apocalyptic number.

1011023000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011023000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447566278400).

1011023000112 is an abundant number, since it is smaller than the sum of its proper divisors (1884109556688).

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

1011023000112 is a wasteful number, since it uses less digits than its factorization.

1011023000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442355 (or 442349 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1011023000112 its reverse (2110003201101), we get a palindrome (3121026201213).

The spelling of 1011023000112 in words is "one trillion, eleven billion, twenty-three million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 109 114 138 152 184 218 228 276 304 327 368 436 437 456 552 654 872 874 912 1104 1308 1311 1744 1748 2071 2507 2616 2622 3496 4142 5014 5232 5244 6213 6992 7521 8284 10028 10488 12426 15042 16568 20056 20976 24852 30084 33136 40112 47633 49704 60168 95266 99408 120336 142899 190532 285798 381064 442193 571596 762128 884386 1143192 1326579 1768772 2286384 2653158 3537544 5306316 7075088 8401667 10170439 10612632 16803334 20340878 21225264 25205001 30511317 33606668 40681756 48199037 50410002 61022634 67213336 81363512 96398074 100820004 122045268 134426672 144597111 162727024 192796148 193238341 201640008 244090536 289194222 385592296 386476682 403280016 488181072 578388444 579715023 771184592 772953364 915781703 1108577851 1156776888 1159430046 1545906728 1831563406 2217155702 2313553776 2318860092 2747345109 3091813456 3325733553 3663126812 4434311404 4637720184 5494690218 6651467106 7326253624 8868622808 9275440368 10989380436 13302934212 14652507248 17737245616 21062979169 21978760872 26605868424 42125958338 43957521744 53211736848 63188937507 84251916676 126377875014 168503833352 252755750028 337007666704 505511500056 1011023000112