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1133102300016 = 243232948772673
BaseRepresentation
bin10000011111010010001…
…010001111101101110000
311000022201211212211200110
4100133102022033231300
5122031043142100031
62224312350421320
7144602221430601
oct20372212175560
94008654784613
101133102300016
113a7600787a35
12163729801840
1382b0aac224b
143cbb1947da8
151e71bb29c46
hex107d228fb70

1133102300016 has 160 divisors (see below), whose sum is σ = 3166307343360. Its totient is φ = 348100042752.

The previous prime is 1133102299991. The next prime is 1133102300089. The reversal of 1133102300016 is 6100032013311.

It is a junction number, because it is equal to n+sod(n) for n = 1133102299965 and 1133102300001.

It is a congruent number.

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, 15555456 + ... + 15628128.

It is an arithmetic number, because the mean of its divisors is an integer number (19789420896).

Almost surely, 21133102300016 is an apocalyptic number.

1133102300016 is a gapful number since it is divisible by the number (16) 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 1133102300016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583153671680).

1133102300016 is an abundant number, since it is smaller than the sum of its proper divisors (2033205043344).

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

1133102300016 is a wasteful number, since it uses less digits than its factorization.

1133102300016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73223 (or 73217 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1133102300016 its reverse (6100032013311), we get a palindrome (7233134313327).

The spelling of 1133102300016 in words is "one trillion, one hundred thirty-three billion, one hundred two million, three hundred thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 92 116 138 174 184 232 276 348 368 464 487 552 667 696 974 1104 1334 1392 1461 1948 2001 2668 2922 3896 4002 5336 5844 7792 8004 10672 11201 11688 14123 16008 22402 23376 28246 32016 33603 42369 44804 56492 67206 72673 84738 89608 112984 134412 145346 169476 179216 218019 225968 268824 290692 324829 338952 436038 537648 581384 649658 677904 872076 974487 1162768 1299316 1671479 1744152 1948974 2107517 2598632 3342958 3488304 3897948 4215034 5014437 5197264 6322551 6685916 7795896 8430068 10028874 12645102 13371832 15591792 16860136 20057748 25290204 26743664 33720272 35391751 40115496 48472891 50580408 70783502 80230992 96945782 101160816 106175253 141567004 145418673 193891564 212350506 283134008 290837346 387783128 424701012 566268016 581674692 775566256 814010273 849402024 1026360779 1163349384 1628020546 1698804048 2052721558 2326698768 2442030819 3079082337 3256041092 4105443116 4884061638 6158164674 6512082184 8210886232 9768123276 12316329348 13024164368 16421772464 19536246552 23606297917 24632658696 39072493104 47212595834 49265317392 70818893751 94425191668 141637787502 188850383336 283275575004 377700766672 566551150008 1133102300016