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11242233120 = 253519264879
BaseRepresentation
bin10100111100001011…
…01101110100100000
31002000111020121121110
422132011231310200
5141011002424440
65055320023320
7545410255566
oct123605556440
932014217543
1011242233120
114849a47158
122219001b40
1310a217aa61
14789127a36
1545be8c080
hex29e16dd20

11242233120 has 144 divisors (see below), whose sum is σ = 37375551360. Its totient is φ = 2840099328.

The previous prime is 11242233113. The next prime is 11242233131. The reversal of 11242233120 is 2133224211.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140841 + ... + 205719.

It is an arithmetic number, because the mean of its divisors is an integer number (259552440).

Almost surely, 211242233120 is an apocalyptic number.

11242233120 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 11242233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687775680).

11242233120 is an abundant number, since it is smaller than the sum of its proper divisors (26133318240).

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

11242233120 is a wasteful number, since it uses less digits than its factorization.

11242233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64935 (or 64908 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11242233120 its reverse (2133224211), we get a palindrome (13375457331).

The spelling of 11242233120 in words is "eleven billion, two hundred forty-two million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 361 380 456 480 570 608 722 760 912 1083 1140 1444 1520 1805 1824 2166 2280 2888 3040 3610 4332 4560 5415 5776 7220 8664 9120 10830 11552 14440 17328 21660 28880 34656 43320 57760 64879 86640 129758 173280 194637 259516 324395 389274 519032 648790 778548 973185 1038064 1232701 1297580 1557096 1946370 2076128 2465402 2595160 3114192 3698103 3892740 4930804 5190320 6163505 6228384 7396206 7785480 9861608 10380640 12327010 14792412 15570960 18490515 19723216 23421319 24654020 29584824 31141920 36981030 39446432 46842638 49308040 59169648 70263957 73962060 93685276 98616080 117106595 118339296 140527914 147924120 187370552 197232160 234213190 281055828 295848240 351319785 374741104 468426380 562111656 591696480 702639570 749482208 936852760 1124223312 1405279140 1873705520 2248446624 2810558280 3747411040 5621116560 11242233120