Search a number
-
+
1133123354000 = 245311487105761
BaseRepresentation
bin10000011111010011011…
…010100011110110010000
311000022210022111111022122
4100133103122203312100
5122031114034312000
62224314421553412
7144602565406511
oct20372332436620
94008708444278
101133123354000
113a7611658120
12163734875868
1382b12284321
143cbb4668a08
151e71d8d8085
hex107d36a3d90

1133123354000 has 160 divisors (see below), whose sum is σ = 2995139227392. Its totient is φ = 411194880000.

The previous prime is 1133123353951. The next prime is 1133123354047. The reversal of 1133123354000 is 4533213311.

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, 10661120 + ... + 10766880.

Almost surely, 21133123354000 is an apocalyptic number.

1133123354000 is a gapful number since it is divisible by the number (10) 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 1133123354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497569613696).

1133123354000 is an abundant number, since it is smaller than the sum of its proper divisors (1862015873392).

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

1133123354000 is a wasteful number, since it uses less digits than its factorization.

1133123354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106282 (or 106266 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 1133123354000 its reverse (4533213311), we get a palindrome (1137656567311).

The spelling of 1133123354000 in words is "one trillion, one hundred thirty-three billion, one hundred twenty-three million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 487 500 550 880 974 1000 1100 1375 1948 2000 2200 2435 2750 3896 4400 4870 5357 5500 7792 9740 10714 11000 12175 19480 21428 22000 24350 26785 38960 42856 48700 53570 60875 85712 97400 105761 107140 121750 133925 194800 211522 214280 243500 267850 423044 428560 487000 528805 535700 669625 846088 974000 1057610 1071400 1163371 1339250 1692176 2115220 2142800 2326742 2644025 2678500 4230440 4653484 5288050 5357000 5816855 8460880 9306968 10576100 10714000 11633710 13220125 18613936 21152200 23267420 26440250 29084275 42304400 46534840 51505607 52880500 58168550 93069680 103011214 105761000 116337100 145421375 206022428 211522000 232674200 257528035 290842750 412044856 465348400 515056070 566561677 581685500 824089712 1030112140 1133123354 1163371000 1287640175 2060224280 2266246708 2326742000 2575280350 2832808385 4120448560 4532493416 5150560700 5665616770 6438200875 9064986832 10301121400 11331233540 12876401750 14164041925 20602242800 22662467080 25752803500 28328083850 45324934160 51505607000 56656167700 70820209625 103011214000 113312335400 141640419250 226624670800 283280838500 566561677000 1133123354000