Search a number
-
+
1242422002410 = 235316179277223
BaseRepresentation
bin10010000101000110000…
…111110100001011101010
311101202220112012010011220
4102011012013310023222
5130323440013034120
62350432155202510
7155522242526241
oct22050607641352
94352815163156
101242422002410
114399a9915416
12180958746436
139021038a894
14441c2641958
15224b9142b40
hex121461f42ea

1242422002410 has 128 divisors (see below), whose sum is σ = 3168071516160. Its totient is φ = 311375750400.

The previous prime is 1242422002391. The next prime is 1242422002411. The reversal of 1242422002410 is 142002242421.

It is a happy number.

It is a super-2 number, since 2×12424220024102 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1242422002411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4343059 + ... + 4620281.

It is an arithmetic number, because the mean of its divisors is an integer number (24750558720).

Almost surely, 21242422002410 is an apocalyptic number.

1242422002410 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 1242422002410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584035758080).

1242422002410 is an abundant number, since it is smaller than the sum of its proper divisors (1925649513750).

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

1242422002410 is a wasteful number, since it uses less digits than its factorization.

1242422002410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277404.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1242422002410 its reverse (142002242421), we get a palindrome (1384424244831).

The spelling of 1242422002410 in words is "one trillion, two hundred forty-two billion, four hundred twenty-two million, two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 61 62 79 93 122 155 158 183 186 237 305 310 366 395 465 474 610 790 915 930 1185 1830 1891 2370 2449 3782 4819 4898 5673 7347 9455 9638 11346 12245 14457 14694 18910 24095 24490 28365 28914 36735 48190 56730 72285 73470 144570 149389 277223 298778 448167 554446 746945 831669 896334 1386115 1493890 1663338 2240835 2772230 4158345 4481670 8316690 8593913 16910603 17187826 21900617 25781739 33821206 42969565 43801234 50731809 51563478 65701851 84553015 85939130 101463618 109503085 128908695 131403702 169106030 219006170 253659045 257817390 328509255 507318090 524228693 657018510 678919127 1048457386 1335937637 1357838254 1572686079 2036757381 2621143465 2671875274 3145372158 3394595635 4007812911 4073514762 5242286930 6679688185 6789191270 7863430395 8015625822 10183786905 13359376370 15726860790 20039064555 20367573810 40078129110 41414066747 82828133494 124242200241 207070333735 248484400482 414140667470 621211001205 1242422002410