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101420411220 = 2232519263112757
BaseRepresentation
bin101111001110100100…
…0001010100101010100
3100200210011101201010200
41132131020022211110
53130202111124340
6114331503220500
710220202162042
oct1363510124524
9320704351120
10101420411220
113a0151a6077
12177a55a7730
139743b8685b
144ca1967392
152988cb2330
hex179d20a954

101420411220 has 144 divisors (see below), whose sum is σ = 325067783040. Its totient is φ = 25524350208.

The previous prime is 101420411203. The next prime is 101420411243. The reversal of 101420411220 is 22114024101.

101420411220 is a `hidden beast` number, since 1 + 0 + 14 + 20 + 411 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101420411193 and 101420411202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843082 + ... + 955838.

It is an arithmetic number, because the mean of its divisors is an integer number (2257415160).

Almost surely, 2101420411220 is an apocalyptic number.

101420411220 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 101420411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162533891520).

101420411220 is an abundant number, since it is smaller than the sum of its proper divisors (223647371820).

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

101420411220 is a wasteful number, since it uses less digits than its factorization.

101420411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113054 (or 113049 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101420411220 its reverse (22114024101), we get a palindrome (123534435321).

The spelling of 101420411220 in words is "one hundred one billion, four hundred twenty million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 263 285 342 380 526 570 684 789 855 1052 1140 1315 1578 1710 2367 2630 3156 3420 3945 4734 4997 5260 7890 9468 9994 11835 14991 15780 19988 23670 24985 29982 44973 47340 49970 59964 74955 89946 99940 112757 149910 179892 224865 225514 299820 338271 449730 451028 563785 676542 899460 1014813 1127570 1353084 1691355 2029626 2142383 2255140 3382710 4059252 4284766 5074065 6427149 6765420 8569532 10148130 10711915 12854298 19281447 20296260 21423830 25708596 29655091 32135745 38562894 42847660 59310182 64271490 77125788 88965273 96407235 118620364 128542980 148275455 177930546 192814470 266895819 296550910 355861092 385628940 444826365 533791638 563446729 593101820 889652730 1067583276 1126893458 1334479095 1690340187 1779305460 2253786916 2668958190 2817233645 3380680374 5071020561 5337916380 5634467290 6761360748 8451700935 10142041122 11268934580 16903401870 20284082244 25355102805 33806803740 50710205610 101420411220