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11313210132 = 22327372235441
BaseRepresentation
bin10101000100101000…
…11110001100010100
31002012102210121202200
422202110132030110
5141132140211012
65110333204500
7550231461630
oct124224361424
932172717680
1011313210132
114886015244
122238930730
1310b3a9c1a3
14794721dc0
1546330c3dc
hex2a251e314

11313210132 has 144 divisors (see below), whose sum is σ = 33722637312. Its totient is φ = 3130306560.

The previous prime is 11313210127. The next prime is 11313210137. The reversal of 11313210132 is 23101231311.

11313210132 is a `hidden beast` number, since 11 + 313 + 210 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (11313210127) and next prime (11313210137).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313210137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2076532 + ... + 2081972.

Almost surely, 211313210132 is an apocalyptic number.

11313210132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11313210132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16861318656).

11313210132 is an abundant number, since it is smaller than the sum of its proper divisors (22409427180).

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

11313210132 is a wasteful number, since it uses less digits than its factorization.

11313210132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11313210132 its reverse (23101231311), we get a palindrome (34414441443).

It can be divided in two parts, 11313 and 210132, that added together give a triangular number (221445 = T665).

The spelling of 11313210132 in words is "eleven billion, three hundred thirteen million, two hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 223 252 259 333 444 446 518 666 669 777 892 1036 1332 1338 1554 1561 2007 2331 2676 3108 3122 4014 4662 4683 5441 6244 8028 8251 9324 9366 10882 14049 16323 16502 18732 21764 24753 28098 32646 33004 38087 48969 49506 56196 57757 65292 74259 76174 97938 99012 114261 115514 148518 152348 173271 195876 201317 228522 231028 297036 342783 346542 402634 457044 519813 603951 685566 693084 805268 1039626 1207902 1213343 1371132 1409219 1811853 2079252 2415804 2426686 2818438 3623706 3640029 4227657 4853372 5636876 7247412 7280058 8455314 8493401 10920087 12682971 14560116 16910628 16986802 21840174 25365942 25480203 33973604 43680348 44893691 50731884 50960406 76440609 89787382 101920812 134681073 152881218 179574764 269362146 305762436 314255837 404043219 538724292 628511674 808086438 942767511 1257023348 1616172876 1885535022 2828302533 3771070044 5656605066 11313210132