Search a number
-
+
1010040202000 = 24533134946679
BaseRepresentation
bin11101011001010110001…
…01100110001100010000
310120120002102211112101101
432230223011212030100
5113022030242431000
62052001150514144
7132654511026664
oct16545305461420
93516072745341
101010040202000
1135a3a03a92a5
12143904505954
13743283c077b
1436c59a728a4
151b417e15e6a
hexeb2b166310

1010040202000 has 160 divisors (see below), whose sum is σ = 2528338176000. Its totient is φ = 389854656000.

The previous prime is 1010040201943. The next prime is 1010040202009. The reversal of 1010040202000 is 2020400101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1010040202009) 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, 21614661 + ... + 21661339.

It is an arithmetic number, because the mean of its divisors is an integer number (15802113600).

Almost surely, 21010040202000 is an apocalyptic number.

1010040202000 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 1010040202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264169088000).

1010040202000 is an abundant number, since it is smaller than the sum of its proper divisors (1518297974000).

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

1010040202000 is a wasteful number, since it uses less digits than its factorization.

1010040202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47082 (or 47066 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1010040202000 its reverse (2020400101), we get a palindrome (1012060602101).

The spelling of 1010040202000 in words is "one trillion, ten billion, forty million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 349 400 496 500 620 698 775 1000 1240 1396 1550 1745 2000 2480 2792 3100 3490 3875 5584 6200 6980 7750 8725 10819 12400 13960 15500 17450 21638 27920 31000 34900 43276 43625 46679 54095 62000 69800 86552 87250 93358 108190 139600 173104 174500 186716 216380 233395 270475 349000 373432 432760 466790 540950 698000 746864 865520 933580 1081900 1166975 1352375 1447049 1867160 2163800 2333950 2704750 2894098 3734320 4327600 4667900 5409500 5788196 5834875 7235245 9335800 10819000 11576392 11669750 14470490 16290971 18671600 21638000 23152784 23339500 28940980 32581942 36176225 46679000 57881960 65163884 72352450 81454855 93358000 115763920 130327768 144704900 162909710 180881125 260655536 289409800 325819420 361762250 407274275 505020101 578819600 651638840 723524500 814548550 1010040202 1303277680 1447049000 1629097100 2020080404 2036371375 2525100505 2894098000 3258194200 4040160808 4072742750 5050201010 6516388400 8080321616 8145485500 10100402020 12625502525 16290971000 20200804040 25251005050 32581942000 40401608080 50502010100 63127512625 101004020200 126255025250 202008040400 252510050500 505020101000 1010040202000