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11101301424312 = 23311829388913043
BaseRepresentation
bin1010000110001011100100…
…1000001100000010111000
31110022021101210011020002120
42201202321020030002320
52423340431131034222
635335511212401240
72224020412113651
oct241427110140270
943267353136076
1011101301424312
1135a00432753a0
1212b360b476220
13626b04749b48
142a543d3a8528
15143b84cb615c
hexa18b920c0b8

11101301424312 has 128 divisors (see below), whose sum is σ = 30322917216000. Its totient is φ = 3358851287040.

The previous prime is 11101301424271. The next prime is 11101301424313. The reversal of 11101301424312 is 21342410310111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101301424313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851124463 + ... + 851137505.

It is an arithmetic number, because the mean of its divisors is an integer number (236897790750).

Almost surely, 211101301424312 is an apocalyptic number.

11101301424312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11101301424312 is an abundant number, since it is smaller than the sum of its proper divisors (19221615791688).

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

11101301424312 is a wasteful number, since it uses less digits than its factorization.

11101301424312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17781 (or 17777 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11101301424312 its reverse (21342410310111), we get a palindrome (32443711734423).

The spelling of 11101301424312 in words is "eleven trillion, one hundred one billion, three hundred one million, four hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 829 1658 2487 3316 3889 4974 6632 7778 9119 9948 11667 13043 15556 18238 19896 23334 26086 27357 31112 36476 39129 42779 46668 52172 54714 72952 78258 85558 93336 104344 109428 128337 143473 156516 171116 218856 256674 286946 313032 342232 430419 513348 573892 860838 1026696 1147784 1721676 3223981 3443352 6447962 9671943 10812647 12895924 19343886 21625294 25791848 32437941 35463791 38687772 43250588 50724227 64875882 70927582 77375544 86501176 101448454 106391373 118939117 129751764 141855164 152172681 202896908 212782746 237878234 259503528 283710328 304345362 356817351 405793816 425565492 475756468 557966497 608690724 713634702 851130984 951512936 1115932994 1217381448 1427269404 1673899491 2231865988 2854538808 3347798982 4463731976 6695597964 13391195928 42050384183 84100768366 126151152549 168201536732 252302305098 336403073464 462554226013 504604610196 925108452026 1009209220392 1387662678039 1850216904052 2775325356078 3700433808104 5550650712156 11101301424312