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2141130996 = 223423793637
BaseRepresentation
bin111111110011111…
…0001000011110100
312112012220201120000
41333213301003310
513341112142441
6552243511300
7104026212264
oct17747610364
95465821500
102141130996
119a9681454
124b9088530
1328178c424
141645157a4
15c7e8e2b6
hex7f9f10f4

2141130996 has 120 divisors (see below), whose sum is σ = 5916261120. Its totient is φ = 673852608.

The previous prime is 2141130991. The next prime is 2141131009. The reversal of 2141130996 is 6990311412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2141130996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141130991) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 586890 + ... + 590526.

It is an arithmetic number, because the mean of its divisors is an integer number (49302176).

Almost surely, 22141130996 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 2141130996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958130560).

2141130996 is an abundant number, since it is smaller than the sum of its proper divisors (3775130124).

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

2141130996 is a wasteful number, since it uses less digits than its factorization.

2141130996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 2141130996 is about 46272.3567154300. The cubic root of 2141130996 is about 1288.8857224798.

The spelling of 2141130996 in words is "two billion, one hundred forty-one million, one hundred thirty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 79 81 92 108 138 158 162 207 237 276 316 324 414 474 621 711 828 948 1242 1422 1817 1863 2133 2484 2844 3634 3637 3726 4266 5451 6399 7268 7274 7452 8532 10902 10911 12798 14548 16353 21804 21822 25596 32706 32733 43644 49059 65412 65466 83651 98118 98199 130932 147177 167302 196236 196398 250953 287323 294354 294597 334604 392796 501906 574646 588708 589194 752859 861969 1003812 1149292 1178388 1505718 1723938 2258577 2585907 3011436 3447876 4517154 5171814 6608429 6775731 7757721 9034308 10343628 13216858 13551462 15515442 19825287 23273163 26433716 27102924 31030884 39650574 46546326 59475861 79301148 93092652 118951722 178427583 237903444 356855166 535282749 713710332 1070565498 2141130996