Search a number
-
+
120001023142 = 2711131011274673
BaseRepresentation
bin110111111000010011…
…1100100110010100110
3102110202002002120222121
41233300213210302212
53431230230220032
6131043330220154
711445510603220
oct1576047446246
9373662076877
10120001023142
114698a4a38a0
121b31012465a
13b415484c90
145b45531410
1531c5108a97
hex1bf09e4ca6

120001023142 has 128 divisors (see below), whose sum is σ = 246047735808. Its totient is φ = 42384384000.

The previous prime is 120001023119. The next prime is 120001023151. The reversal of 120001023142 is 241320100021.

It is a super-3 number, since 3×1200010231423 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25677318 + ... + 25681990.

It is an arithmetic number, because the mean of its divisors is an integer number (1922247936).

Almost surely, 2120001023142 is an apocalyptic number.

120001023142 is an abundant number, since it is smaller than the sum of its proper divisors (126046712666).

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

120001023142 is a wasteful number, since it uses less digits than its factorization.

120001023142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4934.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 120001023142 its reverse (241320100021), we get a palindrome (361321123163).

The spelling of 120001023142 in words is "one hundred twenty billion, one million, twenty-three thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 101 127 143 154 182 202 254 286 707 889 1001 1111 1313 1397 1414 1651 1778 2002 2222 2626 2794 3302 4673 7777 9191 9346 9779 11557 12827 14443 15554 18161 18382 19558 23114 25654 28886 32711 36322 51403 60749 65422 89789 101101 102806 121498 127127 141097 166751 179578 202202 254254 282194 333502 359821 425243 471973 593471 668239 719642 850486 943946 987679 1167257 1186942 1336478 1834261 1975358 2334514 3303811 3668522 4154297 4677673 5191703 6135649 6528181 6607622 7715123 8308594 9355346 10383406 12271298 12839827 13056362 15430246 25679654 36341921 42949543 45697267 54005861 59940571 67492139 72683842 84866353 85899086 91394534 108011722 119881142 134984278 169732706 419583997 472444973 594064471 659346281 779227423 839167994 944889946 1188128942 1318692562 1558454846 4615423967 5454591961 8571501653 9230847934 10909183922 17143003306 60000511571 120001023142