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1130012213120 = 2757996725307
BaseRepresentation
bin10000011100011001111…
…110011111111110000000
311000000202111100011100122
4100130121332133332000
5122003231111304440
62223042003235412
7144432520221110
oct20343176377600
94000674304318
101130012213120
113a6265486a0a
12163006978b68
138273785836b
143c99b3b1040
151e5da6dd7b5
hex10719f9ff80

1130012213120 has 128 divisors (see below), whose sum is σ = 3087786562560. Its totient is φ = 387378579456.

The previous prime is 1130012213093. The next prime is 1130012213177. The reversal of 1130012213120 is 213122100311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44639507 + ... + 44664813.

It is an arithmetic number, because the mean of its divisors is an integer number (24123332520).

Almost surely, 21130012213120 is an apocalyptic number.

1130012213120 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 1130012213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543893281280).

1130012213120 is an abundant number, since it is smaller than the sum of its proper divisors (1957774349440).

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

1130012213120 is an equidigital number, since it uses as much as digits as its factorization.

1130012213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35300 (or 35288 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1130012213120 its reverse (213122100311), we get a palindrome (1343134313431).

The spelling of 1130012213120 in words is "one trillion, one hundred thirty billion, twelve million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 9967 19934 25307 39868 49835 50614 69769 79736 99670 101228 126535 139538 159472 177149 199340 202456 253070 279076 318944 348845 354298 398680 404912 506140 558152 637888 697690 708596 797360 809824 885745 1012280 1116304 1275776 1395380 1417192 1594720 1619648 1771490 2024560 2232608 2790760 2834384 3189440 3239296 3542980 4049120 4465216 5581520 5668768 6378880 7085960 8098240 8930432 11163040 11337536 14171920 16196480 22326080 22675072 28343840 44652160 56687680 113375360 252234869 504469738 1008939476 1261174345 1765644083 2017878952 2522348690 3531288166 4035757904 5044697380 7062576332 8071515808 8828220415 10089394760 14125152664 16143031616 17656440830 20178789520 28250305328 32286063232 35312881660 40357579040 56500610656 70625763320 80715158080 113001221312 141251526640 161430316160 226002442624 282503053280 565006106560 1130012213120