Search a number
-
+
31122022100 = 22521359405763
BaseRepresentation
bin11100111111000001…
…000101111011010100
32222022221120112100012
4130333001011323110
51002214214201400
622144112535352
72151142552211
oct347701057324
988287515305
1031122022100
111222062a924
126046851558
132c1c9866c0
14171347ab08
15c223aed35
hex73f045ed4

31122022100 has 72 divisors (see below), whose sum is σ = 73962661920. Its totient is φ = 11296414080.

The previous prime is 31122022081. The next prime is 31122022117. The reversal of 31122022100 is 122022113.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126182 + ... + 279581.

Almost surely, 231122022100 is an apocalyptic number.

It is an amenable number.

31122022100 is an abundant number, since it is smaller than the sum of its proper divisors (42840639820).

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

31122022100 is a wasteful number, since it uses less digits than its factorization.

31122022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405849 (or 405842 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 31122022100 its reverse (122022113), we get a palindrome (31244044213).

The spelling of 31122022100 in words is "thirty-one billion, one hundred twenty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 59 65 100 118 130 236 260 295 325 590 650 767 1180 1300 1475 1534 2950 3068 3835 5900 7670 15340 19175 38350 76700 405763 811526 1623052 2028815 4057630 5274919 8115260 10144075 10549838 20288150 21099676 23940017 26374595 40576300 47880034 52749190 95760068 105498380 119700085 131872975 239400170 263745950 311220221 478800340 527491900 598500425 622440442 1197000850 1244880884 1556101105 2394001700 3112202210 6224404420 7780505525 15561011050 31122022100