Search a number
-
+
101200020120210 = 235111123695939241
BaseRepresentation
bin10111000000101001110111…
…010000000010001010010010
3111021022121221101212212000010
4113000221313100002022102
5101231030120122321320
6555122351502335350
730213313560644634
oct2700516720021222
9437277841785003
10101200020120210
112a277762095940
12b4252a9b8a556
1344611759569ab
141adc16dc96a54
15ba76a1131ae0
hex5c0a77402292

101200020120210 has 128 divisors (see below), whose sum is σ = 265240859627520. Its totient is φ = 24507345139200.

The previous prime is 101200020120163. The next prime is 101200020120211. The reversal of 101200020120210 is 12021020002101.

It is not an unprimeable number, because it can be changed into a prime (101200020120211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2578916190 + ... + 2578955430.

It is an arithmetic number, because the mean of its divisors is an integer number (2072194215840).

Almost surely, 2101200020120210 is an apocalyptic number.

101200020120210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101200020120210 is an abundant number, since it is smaller than the sum of its proper divisors (164040839507310).

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

101200020120210 is a wasteful number, since it uses less digits than its factorization.

101200020120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47344.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101200020120210 its reverse (12021020002101), we get a palindrome (113221040122311).

The spelling of 101200020120210 in words is "one hundred one trillion, two hundred billion, twenty million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 1123 2246 3369 5615 6738 6959 11230 12353 13918 16845 20877 24706 33690 34795 37059 39241 41754 61765 69590 74118 76549 78482 104385 117723 123530 153098 185295 196205 208770 229647 235446 370590 382745 392410 431651 459294 588615 765490 863302 1148235 1177230 1294953 2158255 2296470 2589906 4316510 6474765 7814957 12949530 15629914 23444871 39074785 44067643 46889742 78149570 85964527 88135286 117224355 132202929 171929054 220338215 234448710 257893581 264405858 273078119 429822635 440676430 484744073 515787162 546156238 661014645 819234357 859645270 969488146 1289467905 1322029290 1365390595 1454232219 1638468714 2423720365 2578935810 2730781190 2908464438 3003859309 4096171785 4847440730 6007718618 7271161095 8192343570 9011577927 14542322190 15019296545 18023155854 30038593090 45057889635 90115779270 306666727637 613333455274 920000182911 1533333638185 1840000365822 3066667276370 3373334004007 4600000914555 6746668008014 9200001829110 10120002012021 16866670020035 20240004024042 33733340040070 50600010060105 101200020120210