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1144301330120 = 235134352198227
BaseRepresentation
bin10000101001101101101…
…011001001111011001000
311001101122022211111220012
4100221231223021323020
5122222012120030440
62233403524451052
7145446565551254
oct20515553117310
94041568744805
101144301330120
114013282a6013
12165934249a88
1383ba4024590
143d555027264
151eb74dd0e65
hex10a6dac9ec8

1144301330120 has 128 divisors (see below), whose sum is σ = 2842686887040. Its totient is φ = 411889121280.

The previous prime is 1144301330111. The next prime is 1144301330147. The reversal of 1144301330120 is 210331034411.

It is a super-2 number, since 2×11443013301202 (a number of 25 digits) contains 22 as substring.

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, 11600447 + ... + 11698673.

It is an arithmetic number, because the mean of its divisors is an integer number (22208491305).

Almost surely, 21144301330120 is an apocalyptic number.

1144301330120 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 1144301330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421343443520).

1144301330120 is an abundant number, since it is smaller than the sum of its proper divisors (1698385556920).

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

1144301330120 is a wasteful number, since it uses less digits than its factorization.

1144301330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98815 (or 98811 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1144301330120 its reverse (210331034411), we get a palindrome (1354632364531).

The spelling of 1144301330120 in words is "one trillion, one hundred forty-four billion, three hundred one million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 521 559 860 1042 1118 1720 2084 2236 2605 2795 4168 4472 5210 5590 6773 10420 11180 13546 20840 22360 22403 27092 33865 44806 54184 67730 89612 98227 112015 135460 179224 196454 224030 270920 291239 392908 448060 491135 582478 785816 896120 982270 1164956 1276951 1456195 1964540 2329912 2553902 2912390 3929080 4223761 5107804 5824780 6384755 8447522 10215608 11649560 12769510 16895044 21118805 25539020 33790088 42237610 51078040 51176267 54908893 84475220 102352534 109817786 168950440 204705068 219635572 255881335 274544465 409410136 439271144 511762670 549088930 665291471 1023525340 1098177860 1330582942 2047050680 2196355720 2200579481 2661165884 3326457355 4401158962 5322331768 6652914710 8802317924 11002897405 13305829420 17604635848 22005794810 26611658840 28607533253 44011589620 57215066506 88023179240 114430133012 143037666265 228860266024 286075332530 572150665060 1144301330120