Search a number
-
+
1101102222120 = 233531893325789
BaseRepresentation
bin10000000001011110110…
…011101000101100101000
310220021010201002110020020
4100001132303220230220
5121020024132101440
62201501150000440
7142360224314055
oct20013663505450
93807121073206
101101102222120
11394a7a55386a
12159498aa6120
137caab256504
143b417a2402c
151d9976253d0
hex1005ece8b28

1101102222120 has 128 divisors (see below), whose sum is σ = 3448179072000. Its totient is φ = 280962570240.

The previous prime is 1101102222083. The next prime is 1101102222179. The reversal of 1101102222120 is 212222011011.

It is a super-2 number, since 2×11011022221202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1101102222120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1331815 + ... + 1993974.

It is an arithmetic number, because the mean of its divisors is an integer number (26938899000).

Almost surely, 21101102222120 is an apocalyptic number.

1101102222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101102222120 is an abundant number, since it is smaller than the sum of its proper divisors (2347076849880).

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

1101102222120 is a wasteful number, since it uses less digits than its factorization.

1101102222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325923 (or 3325919 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1101102222120 its reverse (212222011011), we get a palindrome (1313324233131).

The spelling of 1101102222120 in words is "one trillion, one hundred one billion, one hundred two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 89 93 120 124 155 178 186 248 267 310 356 372 445 465 534 620 712 744 890 930 1068 1240 1335 1780 1860 2136 2670 2759 3560 3720 5340 5518 8277 10680 11036 13795 16554 22072 27590 33108 41385 55180 66216 82770 110360 165540 331080 3325789 6651578 9977367 13303156 16628945 19954734 26606312 33257890 39909468 49886835 66515780 79818936 99773670 103099459 133031560 199547340 206198918 295995221 309298377 399094680 412397836 515497295 591990442 618596754 824795672 887985663 1030994590 1183980884 1237193508 1479976105 1546491885 1775971326 2061989180 2367961768 2474387016 2959952210 3092983770 3551942652 4123978360 4439928315 5919904420 6185967540 7103885304 8879856630 9175851851 11839808840 12371935080 17759713260 18351703702 27527555553 35519426520 36703407404 45879259255 55055111106 73406814808 91758518510 110110222212 137637777765 183517037020 220220444424 275275555530 367034074040 550551111060 1101102222120