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10311222011132 = 2272234361872023
BaseRepresentation
bin1001011000001100010010…
…1110011010010011111100
31100111202001210100111211102
42112003010232122103330
52322414340313324012
633532524320512232
72112650456653400
oct226030456322374
940452053314742
1010311222011132
113315a68015389
1211a647347b678
1359a461ba46b3
142790cc813100
1512d3428e72c2
hex960c4b9a4fc

10311222011132 has 144 divisors (see below), whose sum is σ = 22780168975872. Its totient is φ = 4060971573120.

The previous prime is 10311222011117. The next prime is 10311222011173. The reversal of 10311222011132 is 23111022211301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11388473 + ... + 12260495.

It is an arithmetic number, because the mean of its divisors is an integer number (158195617888).

Almost surely, 210311222011132 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 10311222011132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11390084487936).

10311222011132 is an abundant number, since it is smaller than the sum of its proper divisors (12468946964740).

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

10311222011132 is a wasteful number, since it uses less digits than its factorization.

10311222011132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872168 (or 872159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10311222011132 its reverse (23111022211301), we get a palindrome (33422244222433).

The spelling of 10311222011132 in words is "ten trillion, three hundred eleven billion, two hundred twenty-two million, eleven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 43 46 49 61 86 92 98 122 161 172 196 244 301 322 427 602 644 854 989 1127 1204 1403 1708 1978 2107 2254 2623 2806 2989 3956 4214 4508 5246 5612 5978 6923 8428 9821 10492 11956 13846 18361 19642 27692 36722 39284 48461 60329 68747 73444 96922 120658 128527 137494 193844 241316 257054 274988 422303 514108 844606 872023 1689212 1744046 2956121 3488092 5912242 6104161 11824484 12208322 20056529 24416644 37496989 40113058 42729127 53193403 74993978 80226116 85458254 106386806 140395703 149987956 170916508 212773612 262478923 280791406 372353821 524957846 561582812 744707642 862430747 982769921 1049915692 1223448269 1489415284 1724861494 1837352461 1965539842 2287316329 2446896538 2606476747 3449722988 3674704922 3931079684 4574632658 4893793076 5212953494 6037015229 7349409844 8564137883 9149265316 10425906988 12074030458 16011214303 17128275766 24148060916 32022428606 34256551532 42259106603 52608275567 59948965181 64044857212 84518213206 105216551134 112078500121 119897930362 169036426412 210433102268 224157000242 239795860724 368257928969 448314000484 736515857938 1473031715876 2577805502783 5155611005566 10311222011132