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121344432210 = 2345477144893
BaseRepresentation
bin111000100000010110…
…0010001100001010010
3102121012200221211210000
41301000230101201102
53442003133312320
6131424520150430
711524012440561
oct1610054214122
9377180854700
10121344432210
114750984aa21
121b626008416
13b59a8ab3a1
145c31b11bd8
153253020c90
hex1c40b11852

121344432210 has 160 divisors (see below), whose sum is σ = 337924680192. Its totient is φ = 31223283840.

The previous prime is 121344432173. The next prime is 121344432227. The reversal of 121344432210 is 12234443121.

121344432210 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 4 + 443 + 2 + 210 = 666.

121344432210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2680524 + ... + 2725416.

Almost surely, 2121344432210 is an apocalyptic number.

121344432210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121344432210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168962340096).

121344432210 is an abundant number, since it is smaller than the sum of its proper divisors (216580247982).

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

121344432210 is a wasteful number, since it uses less digits than its factorization.

121344432210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45030 (or 45021 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 121344432210 its reverse (12234443121), we get a palindrome (133578875331).

The spelling of 121344432210 in words is "one hundred twenty-one billion, three hundred forty-four million, four hundred thirty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 71 81 90 94 135 141 142 162 213 235 270 282 355 405 423 426 470 639 705 710 810 846 1065 1269 1278 1410 1917 2115 2130 2538 3195 3337 3807 3834 4230 5751 6345 6390 6674 7614 9585 10011 11502 12690 16685 19035 19170 20022 28755 30033 33370 38070 44893 50055 57510 60066 89786 90099 100110 134679 150165 180198 224465 269358 270297 300330 404037 448930 450495 540594 673395 808074 900990 1212111 1346790 1351485 2020185 2109971 2424222 2702970 3187403 3636333 4040370 4219942 6060555 6329913 6374806 7272666 9562209 10549855 12121110 12659826 15937015 18181665 18989739 19124418 21099710 28686627 31649565 31874030 36363330 37979478 47811045 56969217 57373254 63299130 86059881 94948695 95622090 113938434 143433135 149807941 170907651 172119762 189897390 258179643 284846085 286866270 299615882 341815302 430299405 449423823 516359286 569692170 749039705 854538255 860598810 898847646 1290898215 1348271469 1498079410 1709076510 2247119115 2581796430 2696542938 4044814407 4494238230 6741357345 8089628814 12134443221 13482714690 20224072035 24268886442 40448144070 60672216105 121344432210