Search a number
-
+
101003002030 = 257107137257383
BaseRepresentation
bin101111000010000111…
…1111000000010101110
3100122201001222010101001
41132010033320002232
53123323232031110
6114222232510514
710203643231450
oct1360417700256
9318631863331
10101003002030
113992061a3a7
12176a984b43a
1396a855b178
144c623502d0
15296231063a
hex17843f80ae

101003002030 has 128 divisors (see below), whose sum is σ = 212625948672. Its totient is φ = 33834467328.

The previous prime is 101003002013. The next prime is 101003002043. The reversal of 101003002030 is 30200300101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101003001998 and 101003002016.

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, 263715219 + ... + 263715601.

It is an arithmetic number, because the mean of its divisors is an integer number (1661140224).

Almost surely, 2101003002030 is an apocalyptic number.

101003002030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101003002030 is an abundant number, since it is smaller than the sum of its proper divisors (111622946642).

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

101003002030 is a wasteful number, since it uses less digits than its factorization.

101003002030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898.

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 101003002030 its reverse (30200300101), we get a palindrome (131203302131).

The spelling of 101003002030 in words is "one hundred one billion, three million, two thousand, thirty".

Divisors: 1 2 5 7 10 14 35 70 107 137 214 257 274 383 514 535 685 749 766 959 1070 1285 1370 1498 1799 1915 1918 2570 2681 3598 3745 3830 4795 5362 7490 8995 9590 13405 14659 17990 26810 27499 29318 35209 40981 52471 54998 70418 73295 81962 98431 102613 104942 137495 146590 176045 192493 196862 204905 205226 246463 262355 274990 286867 352090 367297 384986 409810 492155 492926 513065 524710 573734 689017 734594 962465 984310 1026130 1232315 1378034 1434335 1836485 1924930 2464630 2868670 3445085 3672970 3767363 5614397 6890170 7534726 10532117 11228794 13485047 18836815 21064234 26371541 26970094 28071985 37673630 39300779 52660585 52743082 56143970 67425235 73724819 78601558 94395329 105321170 131857705 134850470 147449638 188790658 196503895 263715410 368624095 393007790 471976645 737248190 943953290 1442900029 2885800058 7214500145 10100300203 14429000290 20200600406 50501501015 101003002030