Search a number
-
+
1131033120120 = 233354231247519
BaseRepresentation
bin10000011101010110110…
…100111100110101111000
311000010101122100121111000
4100131112310330311320
5122012323434320440
62223331153005000
7144500024616261
oct20352664746570
94003348317430
101131033120120
113a673978a502
12163250853760
138286b205747
143ca56c01968
151e64a14e730
hex10756d3cd78

1131033120120 has 128 divisors (see below), whose sum is σ = 3771016704000. Its totient is φ = 301536328320.

The previous prime is 1131033119987. The next prime is 1131033120121. The reversal of 1131033120120 is 210213301311.

1131033120120 is a `hidden beast` number, since 1 + 1 + 310 + 331 + 2 + 0 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1131033120093 and 1131033120102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131033120121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4445721 + ... + 4693239.

It is an arithmetic number, because the mean of its divisors is an integer number (29461068000).

Almost surely, 21131033120120 is an apocalyptic number.

1131033120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131033120120 is an abundant number, since it is smaller than the sum of its proper divisors (2639983583880).

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

1131033120120 is a wasteful number, since it uses less digits than its factorization.

1131033120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251770 (or 251760 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1131033120120 its reverse (210213301311), we get a palindrome (1341246421431).

The spelling of 1131033120120 in words is "one trillion, one hundred thirty-one billion, thirty-three million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 4231 8462 12693 16924 21155 25386 33848 38079 42310 50772 63465 76158 84620 101544 114237 126930 152316 169240 190395 228474 247519 253860 304632 380790 456948 495038 507720 571185 742557 761580 913896 990076 1142370 1237595 1485114 1523160 1980152 2227671 2284740 2475190 2970228 3712785 4455342 4569480 4950380 5940456 6683013 7425570 8910684 9900760 11138355 13366026 14851140 17821368 22276710 26732052 29702280 33415065 44553420 53464104 66830130 89106840 133660260 267320520 1047252889 2094505778 3141758667 4189011556 5236264445 6283517334 8378023112 9425276001 10472528890 12567034668 15708793335 18850552002 20945057780 25134069336 28275828003 31417586670 37701104004 41890115560 47126380005 56551656006 62835173340 75402208008 94252760010 113103312012 125670346680 141379140015 188505520020 226206624024 282758280030 377011040040 565516560060 1131033120120