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10120001202 = 232372463887
BaseRepresentation
bin10010110110011001…
…01111011010110010
3222010021120022211100
421123030233122302
5131211210014302
64352110425230
7505532406453
oct113314573262
928107508740
1010120001202
114323527763
121b65202216
13c53814abc
146c007d12a
153e36b3d1c
hex25b32f6b2

10120001202 has 72 divisors (see below), whose sum is σ = 22609431936. Its totient is φ = 3271381344.

The previous prime is 10120001191. The next prime is 10120001209. The reversal of 10120001202 is 20210002101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10120001209) 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 35 ways as a sum of consecutive naturals, for example, 11408803 + ... + 11409689.

It is an arithmetic number, because the mean of its divisors is an integer number (314019888).

Almost surely, 210120001202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120001202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11304715968).

10120001202 is an abundant number, since it is smaller than the sum of its proper divisors (12489430734).

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

10120001202 is a wasteful number, since it uses less digits than its factorization.

10120001202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10120001202 its reverse (20210002101), we get a palindrome (30330003303).

The spelling of 10120001202 in words is "ten billion, one hundred twenty million, one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 463 666 887 926 1369 1389 1774 2661 2738 2778 4107 4167 5322 7983 8214 8334 12321 15966 17131 24642 32819 34262 51393 65638 98457 102786 154179 196914 295371 308358 410681 590742 633847 821362 1214303 1232043 1267694 1901541 2428606 2464086 3642909 3696129 3803082 5704623 7285818 7392258 10928727 11409246 15195197 21857454 30390394 45585591 91171182 136756773 273513546 562222289 1124444578 1686666867 3373333734 5060000601 10120001202