Search a number
-
+
1001111119974 = 232719907461053
BaseRepresentation
bin11101001000101101101…
…11110110100001100110
310112201001011012011112200
432210112313312201212
5112400233421314344
62043523141355330
7132220316054610
oct16442667664146
93481034164480
101001111119974
11356629145869
12142032108b46
1373534540a94
143664dc3bdb0
151b094097069
hexe916df6866

1001111119974 has 96 divisors (see below), whose sum is σ = 2612295079680. Its totient is φ = 270678096576.

The previous prime is 1001111119969. The next prime is 1001111119999. The reversal of 1001111119974 is 4799111111001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1940832 + ... + 2401884.

It is an arithmetic number, because the mean of its divisors is an integer number (27211407080).

Almost surely, 21001111119974 is an apocalyptic number.

1001111119974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001111119974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306147539840).

1001111119974 is an abundant number, since it is smaller than the sum of its proper divisors (1611183959706).

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

1001111119974 is a wasteful number, since it uses less digits than its factorization.

1001111119974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461994 (or 461991 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 36.

The spelling of 1001111119974 in words is "one trillion, one billion, one hundred eleven million, one hundred nineteen thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 907 1197 1814 2394 2721 5442 6349 8163 12698 16326 17233 19047 34466 38094 51699 57141 103398 114282 120631 155097 241262 310194 361893 461053 723786 922106 1085679 1383159 2171358 2766318 3227371 4149477 6454742 8298954 8760007 9682113 17520014 19364226 26280021 29046339 52560042 58092678 61320049 78840063 122640098 157680126 183960147 367920294 418175071 551880441 836350142 1103760882 1254525213 2509050426 2927225497 3763575639 5854450994 7527151278 7945326349 8781676491 15890652698 17563352982 23835979047 26345029473 47671958094 52690058946 55617284443 71507937141 111234568886 143015874282 166851853329 333703706658 500555559987 1001111119974