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12100210120130 = 2511217261567257
BaseRepresentation
bin1011000000010100110010…
…1110011101010111000010
31120211202202110002122200012
42300011030232131113002
53041222212242321010
641422432040424522
72356132325665106
oct260051456352702
946752673078605
1012100210120130
113945741185300
121435127a78142
1369a0778baa62
142db9208d7906
1515eb4a813005
hexb014cb9d5c2

12100210120130 has 144 divisors (see below), whose sum is σ = 25848469920168. Its totient is φ = 4073351884800.

The previous prime is 12100210120109. The next prime is 12100210120133. The reversal of 12100210120130 is 3102101200121.

It can be written as a sum of positive squares in 12 ways, for example, as 45835812649 + 12054374307481 = 214093^2 + 3471941^2 .

It is not an unprimeable number, because it can be changed into a prime (12100210120133) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21047462 + ... + 21614718.

Almost surely, 212100210120130 is an apocalyptic number.

12100210120130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12100210120130 is an abundant number, since it is smaller than the sum of its proper divisors (13748259800038).

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

12100210120130 is a wasteful number, since it uses less digits than its factorization.

12100210120130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567381 (or 567353 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12100210120130 its reverse (3102101200121), we get a palindrome (15202311320251).

The spelling of 12100210120130 in words is "twelve trillion, one hundred billion, two hundred ten million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 5 10 11 17 22 34 55 61 85 110 121 122 170 187 242 289 305 374 578 605 610 671 935 1037 1210 1342 1445 1870 2057 2074 2890 3179 3355 4114 5185 6358 6710 7381 10285 10370 11407 14762 15895 17629 20570 22814 31790 34969 35258 36905 57035 69938 73810 88145 114070 125477 174845 176290 193919 250954 349690 387838 567257 627385 969595 1134514 1254770 1939190 2133109 2836285 4266218 5672570 6239827 9643369 10665545 12479654 19286738 21331090 31199135 34602677 48216845 62398270 68638097 69205354 96433690 106077059 137276194 163937273 173013385 212154118 327874546 343190485 346026770 380629447 530385295 588245509 686380970 761258894 819686365 1060770590 1166847649 1176491018 1639372730 1803310003 1903147235 2333695298 2941227545 3606620006 3806294470 4186923917 5834238245 5882455090 6470700599 8373847834 9016550015 10000173653 11668476490 12941401198 18033100030 19836410033 20000347306 20934619585 32353502995 39672820066 41869239170 50000868265 64707005990 71177706589 99182050165 100001736530 110001910183 142355413178 198364100330 220003820366 355888532945 550009550915 711777065890 1100019101830 1210021012013 2420042024026 6050105060065 12100210120130