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1133032222120 = 2353112755712917
BaseRepresentation
bin10000011111001101111…
…110111010110110101000
311000022112222000111212211
4100133031332322312220
5122030422222101440
62224301404414504
7144600410661061
oct20371576726650
94008488014784
101133032222120
113a7575173417
1216370a247434
1382ac9427136
143cba6505568
151e7158d5eea
hex107cdfbada8

1133032222120 has 128 divisors (see below), whose sum is σ = 2657247068160. Its totient is φ = 434324782080.

The previous prime is 1133032222109. The next prime is 1133032222181. The reversal of 1133032222120 is 212222303311.

It is a junction number, because it is equal to n+sod(n) for n = 1133032222091 and 1133032222100.

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, 87709902 + ... + 87722818.

It is an arithmetic number, because the mean of its divisors is an integer number (20759742720).

Almost surely, 21133032222120 is an apocalyptic number.

1133032222120 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 1133032222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328623534080).

1133032222120 is an abundant number, since it is smaller than the sum of its proper divisors (1524214846040).

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

1133032222120 is a wasteful number, since it uses less digits than its factorization.

1133032222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13643 (or 13639 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1133032222120 its reverse (212222303311), we get a palindrome (1345254525431).

The spelling of 1133032222120 in words is "one trillion, one hundred thirty-three billion, thirty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 127 155 248 254 310 508 557 620 635 1016 1114 1240 1270 2228 2540 2785 3937 4456 5080 5570 7874 11140 12917 15748 17267 19685 22280 25834 31496 34534 39370 51668 64585 69068 70739 78740 86335 103336 129170 138136 141478 157480 172670 258340 282956 345340 353695 400427 516680 565912 690680 707390 800854 1414780 1601708 1640459 2002135 2192909 2829560 3203416 3280918 4004270 4385818 6561836 7194769 8008540 8202295 8771636 10964545 13123672 14389538 16017080 16404590 17543272 21929090 28779076 32809180 35973845 43858180 50854229 57558152 65618360 71947690 87716360 101708458 143895380 203416916 223037839 254271145 287790760 406833832 446075678 508542290 892151356 913735663 1017084580 1115189195 1784302712 1827471326 2034169160 2230378390 3654942652 4460756780 4568678315 7309885304 8921513560 9137356630 18274713260 28325805553 36549426520 56651611106 113303222212 141629027765 226606444424 283258055530 566516111060 1133032222120