Search a number
-
+
10013313212 = 2272367239971
BaseRepresentation
bin10010101001101011…
…10000100010111100
3221211211211000102022
421110311300202330
5131001402010322
64333340015312
7503065520660
oct112465604274
927754730368
1010013313212
114279288471
121b35531538
13c3769c106
146adc2a8a0
153d913c942
hex254d708bc

10013313212 has 96 divisors (see below), whose sum is σ = 21319925760. Its totient is φ = 4022504640.

The previous prime is 10013313209. The next prime is 10013313217. The reversal of 10013313212 is 21231331001.

It is a super-2 number, since 2×100133132122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013313217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10311887 + ... + 10312857.

It is an arithmetic number, because the mean of its divisors is an integer number (222082560).

Almost surely, 210013313212 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 10013313212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10659962880).

10013313212 is an abundant number, since it is smaller than the sum of its proper divisors (11306612548).

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

10013313212 is a wasteful number, since it uses less digits than its factorization.

10013313212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10013313212 its reverse (21231331001), we get a palindrome (31244644213).

The spelling of 10013313212 in words is "ten billion, thirteen million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 4 7 14 23 28 46 67 92 134 161 239 268 322 469 478 644 938 956 971 1541 1673 1876 1942 3082 3346 3884 5497 6164 6692 6797 10787 10994 13594 16013 21574 21988 22333 27188 32026 38479 43148 44666 64052 65057 76958 89332 112091 130114 153916 156331 224182 232069 260228 312662 368299 448364 455399 464138 625324 736598 910798 928276 1473196 1496311 1624483 1821596 2578093 2992622 3248966 5156186 5337587 5985244 6497932 10312372 10474177 10675174 15548623 20948354 21350348 31097246 37363109 41896708 62194492 74726218 108840361 149452436 217680722 357618329 435361444 715236658 1430473316 2503328303 5006656606 10013313212