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101220234332 = 2274292271601
BaseRepresentation
bin101111001000100110…
…0100011010001011100
3100200021012201200001212
41132101030203101130
53124244334444312
6114255552523552
710212221540000
oct1362114432134
9320235650055
10101220234332
1139a22202228
121774a5505b8
139711569ba9
144c8313a700
152976420822
hex179132345c

101220234332 has 120 divisors (see below), whose sum is σ = 214847231760. Its totient is φ = 41673676800.

The previous prime is 101220234289. The next prime is 101220234341. The reversal of 101220234332 is 233432022101.

It is a junction number, because it is equal to n+sod(n) for n = 101220234298 and 101220234307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63222332 + ... + 63223932.

It is an arithmetic number, because the mean of its divisors is an integer number (1790393598).

Almost surely, 2101220234332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101220234332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107423615880).

101220234332 is an abundant number, since it is smaller than the sum of its proper divisors (113626997428).

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

101220234332 is a wasteful number, since it uses less digits than its factorization.

101220234332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 101220234332 its reverse (233432022101), we get a palindrome (334652256433).

The spelling of 101220234332 in words is "one hundred one billion, two hundred twenty million, two hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 227 343 406 454 686 812 908 1372 1421 1589 1601 2401 2842 3178 3202 4802 5684 6356 6404 6583 9604 9947 11123 11207 13166 19894 22246 22414 26332 39788 44492 44828 46081 46429 69629 77861 78449 92162 92858 139258 155722 156898 184324 185716 278516 311444 313796 322567 325003 363427 545027 549143 645134 650006 726854 1090054 1098286 1290268 1300012 1453708 2180108 2196572 2257969 2275021 2543989 3844001 4515938 4550042 5087978 7688002 9031876 9100084 10175956 10539383 15376004 15805783 15925147 17807923 21078766 31611566 31850294 35615846 42157532 63223132 63700588 71231692 73775681 111476029 124655461 147551362 222952058 249310922 295102724 445904116 498621844 516429767 872588227 1032859534 1745176454 2065719068 3490352908 3615008369 7230016738 14460033476 25305058583 50610117166 101220234332