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103155034224 = 2431132370201
BaseRepresentation
bin110000000010010000…
…1001110100001110000
3100212021001101200120010
41200010201032201300
53142230142043344
6115215550214520
710311164216004
oct1400441164160
9325231350503
10103155034224
113a825367000
1217baa4b4440
13995c3663b8
144dc80a2704
152a3b2048b9
hex180484e870

103155034224 has 160 divisors (see below), whose sum is σ = 305860566528. Its totient is φ = 29899584000.

The previous prime is 103155034207. The next prime is 103155034237. The reversal of 103155034224 is 422430551301.

It is a super-2 number, since 2×1031550342242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103155034191 and 103155034200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1434324 + ... + 1504524.

Almost surely, 2103155034224 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 103155034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152930283264).

103155034224 is an abundant number, since it is smaller than the sum of its proper divisors (202705532304).

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

103155034224 is a wasteful number, since it uses less digits than its factorization.

103155034224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70268 (or 70240 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 103155034224 its reverse (422430551301), we get a palindrome (525585585525).

The spelling of 103155034224 in words is "one hundred three billion, one hundred fifty-five million, thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 121 132 138 176 184 242 253 264 276 363 368 484 506 528 552 726 759 968 1012 1104 1331 1452 1518 1936 2024 2662 2783 2904 3036 3993 4048 5324 5566 5808 6072 7986 8349 10648 11132 12144 15972 16698 21296 22264 30613 31944 33396 44528 61226 63888 66792 70201 91839 122452 133584 140402 183678 210603 244904 280804 367356 421206 489808 561608 734712 772211 842412 1123216 1469424 1544422 1614623 1684824 2316633 3088844 3229246 3369648 4633266 4843869 6177688 6458492 8494321 9266532 9687738 12355376 12916984 16988642 17760853 18533064 19375476 25482963 25833968 33977284 35521706 37066128 38750952 50965926 53282559 67954568 71043412 77501904 93437531 101931852 106565118 135909136 142086824 186875062 195369383 203863704 213130236 280312593 284173648 373750124 390738766 407727408 426260472 560625186 586108149 747500248 781477532 852520944 1121250372 1172216298 1495000496 1562955064 2149063213 2242500744 2344432596 3125910128 4298126426 4485001488 4688865192 6447189639 8596252852 9377730384 12894379278 17192505704 25788758556 34385011408 51577517112 103155034224