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101002211130 = 23537831736337
BaseRepresentation
bin101111000010000110…
…0110110111100111010
3100122201000110221110110
41132010030312330322
53123323031224010
6114222203525150
710203633425562
oct1360414667472
9318630427413
10101002211130
113992012a167
12176a95297b6
1396a8342192
144c621c5da2
152962206120
hex1784336f3a

101002211130 has 128 divisors (see below), whose sum is σ = 253452665088. Its totient is φ = 25736527872.

The previous prime is 101002211119. The next prime is 101002211159. The reversal of 101002211130 is 31112200101.

It is a Curzon 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, 15935322 + ... + 15941658.

It is an arithmetic number, because the mean of its divisors is an integer number (1980098946).

Almost surely, 2101002211130 is an apocalyptic number.

101002211130 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 101002211130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126726332544).

101002211130 is an abundant number, since it is smaller than the sum of its proper divisors (152450453958).

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

101002211130 is a wasteful number, since it uses less digits than its factorization.

101002211130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6640.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101002211130 its reverse (31112200101), we get a palindrome (132114411231).

The spelling of 101002211130 in words is "one hundred one billion, two million, two hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 83 111 166 173 185 222 249 346 370 415 498 519 555 830 865 1038 1110 1245 1730 2490 2595 3071 5190 6142 6337 6401 9213 12674 12802 14359 15355 18426 19011 19203 28718 30710 31685 32005 38022 38406 43077 46065 63370 64010 71795 86154 92130 95055 96015 143590 190110 192030 215385 234469 430770 468938 525971 531283 703407 1051942 1062566 1096301 1172345 1406814 1577913 1593849 2192602 2344690 2629855 2656415 3155826 3187698 3288903 3517035 5259710 5312830 5481505 6577806 7034070 7889565 7969245 10963010 15779130 15938490 16444515 19460927 32889030 38921854 40563137 58382781 81126274 90992983 97304635 116765562 121689411 181985966 194609270 202815685 243378822 272978949 291913905 405631370 454964915 545957898 583827810 608447055 909929830 1216894110 1364894745 2729789490 3366740371 6733480742 10100221113 16833701855 20200442226 33667403710 50501105565 101002211130