Search a number
-
+
31001221212 = 22313292236297
BaseRepresentation
bin11100110111110100…
…010001100001011100
32222000112021012200020
4130313310101201130
51001442303034322
622124115432140
72145145014063
oct346764214134
988015235606
1031001221212
1112169421385
1260122b5650
132c0093c0a0
1417013d31da
15c1699c05c
hex737d1185c

31001221212 has 72 divisors (see below), whose sum is σ = 80679698736. Its totient is φ = 9209872896.

The previous prime is 31001221211. The next prime is 31001221333. The reversal of 31001221212 is 21212210013.

It is a super-2 number, since 2×310012212122 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31001221191 and 31001221200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31001221211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13048 + ... + 249344.

Almost surely, 231001221212 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 31001221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40339849368).

31001221212 is an abundant number, since it is smaller than the sum of its proper divisors (49678477524).

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

31001221212 is a wasteful number, since it uses less digits than its factorization.

31001221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236375 (or 236344 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 31001221212 its reverse (21212210013), we get a palindrome (52213431225).

The spelling of 31001221212 in words is "thirty-one billion, one million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 841 1131 1508 1682 2262 2523 3364 4524 5046 10092 10933 21866 32799 43732 65598 131196 236297 472594 708891 945188 1417782 2835564 3071861 6143722 6852613 9215583 12287444 13705226 18431166 20557839 27410452 36862332 41115678 82231356 89083969 178167938 198725777 267251907 356335876 397451554 534503814 596177331 794903108 1069007628 1192354662 2384709324 2583435101 5166870202 7750305303 10333740404 15500610606 31001221212