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2100000001932 = 2232797449319121
BaseRepresentation
bin11110100011110001110…
…000010000111110001100
321102202110121111021212100
4132203301300100332030
5233401300000030212
64244420544035100
7304501646332140
oct36436160207614
97382417437770
102100000001932
1173a672288388
1229abb1902a90
1312304c074951
14738d7911220
153995c217bdc
hex1e8f1c10f8c

2100000001932 has 144 divisors (see below), whose sum is σ = 6130894416192. Its totient is φ = 593651220480.

The previous prime is 2100000001903. The next prime is 2100000001949. The reversal of 2100000001932 is 2391000000012.

It is a happy number.

It is a super-2 number, since 2×21000000019322 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109817332 + ... + 109836452.

It is an arithmetic number, because the mean of its divisors is an integer number (42575655668).

Almost surely, 22100000001932 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 2100000001932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065447208096).

2100000001932 is an abundant number, since it is smaller than the sum of its proper divisors (4030894414260).

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

2100000001932 is a wasteful number, since it uses less digits than its factorization.

2100000001932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23728 (or 23723 counting only the distinct ones).

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

Adding to 2100000001932 its reverse (2391000000012), we get a palindrome (4491000001944).

The spelling of 2100000001932 in words is "two trillion, one hundred billion, one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 194 252 291 388 582 679 873 1164 1358 1746 2037 2716 3492 4074 4493 6111 8148 8986 12222 13479 17972 19121 24444 26958 31451 38242 40437 53916 57363 62902 76484 80874 94353 114726 125804 133847 161748 172089 188706 229452 267694 283059 344178 377412 401541 435821 535388 566118 688356 803082 871642 1132236 1204623 1307463 1606164 1743284 1854737 2409246 2614926 3050747 3709474 3922389 4818492 5229852 5564211 6101494 7418948 7844778 9152241 11128422 12202988 12983159 15689556 16692633 18304482 22256844 25966318 27456723 33385266 36608964 38949477 51932636 54913446 66770532 77898954 85910653 109826892 116848431 155797908 171821306 233696862 257731959 343642612 467393724 515463918 601374571 773195877 1030927836 1202749142 1546391754 1804123713 2405498284 3092783508 3608247426 5412371139 7216494852 8333333341 10824742278 16666666682 21649484556 25000000023 33333333364 50000000046 58333333387 75000000069 100000000092 116666666774 150000000138 175000000161 233333333548 300000000276 350000000322 525000000483 700000000644 1050000000966 2100000001932