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1106157150 = 2325272912109
BaseRepresentation
bin100000111101110…
…1001111001011110
32212002102121100100
41001323221321132
54231134012100
6301432441530
736261115650
oct10173517136
92762377310
101106157150
1151844026a
1226a5492a6
13148228377
14a6ca26d0
15671a0400
hex41ee9e5e

1106157150 has 144 divisors (see below), whose sum is σ = 3513837600. Its totient is φ = 244097280.

The previous prime is 1106157149. The next prime is 1106157187. The reversal of 1106157150 is 517516011.

It is a happy number.

It is a super-2 number, since 2×11061571502 = 2447167280992245000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85296 + ... + 97404.

It is an arithmetic number, because the mean of its divisors is an integer number (24401650).

Almost surely, 21106157150 is an apocalyptic number.

1106157150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106157150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756918800).

1106157150 is an abundant number, since it is smaller than the sum of its proper divisors (2407680450).

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

1106157150 is a wasteful number, since it uses less digits than its factorization.

1106157150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12163 (or 12155 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The square root of 1106157150 is about 33258.9409031617. The cubic root of 1106157150 is about 1034.2025643621.

The spelling of 1106157150 in words is "one billion, one hundred six million, one hundred fifty-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 29 30 35 42 45 50 58 63 70 75 87 90 105 126 145 150 174 175 203 210 225 261 290 315 350 406 435 450 522 525 609 630 725 870 1015 1050 1218 1305 1450 1575 1827 2030 2175 2610 3045 3150 3654 4350 5075 6090 6525 9135 10150 12109 13050 15225 18270 24218 30450 36327 45675 60545 72654 84763 91350 108981 121090 169526 181635 217962 254289 302725 351161 363270 423815 508578 544905 605450 702322 762867 847630 908175 1053483 1089810 1271445 1525734 1755805 1816350 2106966 2119075 2458127 2542890 2724525 3160449 3511610 3814335 4238150 4916254 5267415 5449050 6320898 6357225 7374381 7628670 8779025 10534830 12290635 12714450 14748762 15802245 17558050 19071675 22123143 24581270 26337075 31604490 36871905 38143350 44246286 52674150 61453175 73743810 79011225 110615715 122906350 158022450 184359525 221231430 368719050 553078575 1106157150