Search a number
-
+
10030403135312 = 247232571296489
BaseRepresentation
bin1001000111110110001010…
…0111011010011101010000
31022111220020001002112212222
42101331202213122131100
52303314231200312222
633155523101440212
72053446511623620
oct221754247323520
938456201075788
1010030403135312
11321796309462a
12115bb61870068
13579b2abbc011
1426968cd16880
15125da914e542
hex91f629da750

10030403135312 has 120 divisors (see below), whose sum is σ = 23258563648320. Its totient is φ = 4104627310080.

The previous prime is 10030403135267. The next prime is 10030403135341. The reversal of 10030403135312 is 21353130403001.

10030403135312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33682364 + ... + 33978852.

It is an arithmetic number, because the mean of its divisors is an integer number (193821363736).

Almost surely, 210030403135312 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 10030403135312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11629281824160).

10030403135312 is an abundant number, since it is smaller than the sum of its proper divisors (13228160513008).

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

10030403135312 is a wasteful number, since it uses less digits than its factorization.

10030403135312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297121 (or 297092 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 10030403135312 its reverse (21353130403001), we get a palindrome (31383533538313).

The spelling of 10030403135312 in words is "ten trillion, thirty billion, four hundred three million, one hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 529 571 644 1058 1142 1288 2116 2284 2576 3703 3997 4232 4568 7406 7994 8464 9136 13133 14812 15988 26266 29624 31976 52532 59248 63952 91931 105064 183862 210128 296489 302059 367724 592978 604118 735448 1185956 1208236 1470896 2075423 2114413 2371912 2416472 4150846 4228826 4743824 4832944 6819247 8301692 8457652 13638494 16603384 16915304 27276988 33206768 33830608 47734729 54553976 95469458 109107952 156842681 169295219 190938916 313685362 338590438 381877832 627370724 677180876 763755664 1097898767 1185066533 1254741448 1354361752 2195797534 2370133066 2509482896 2708723504 3893790037 4391595068 4740266132 7787580074 8783190136 9480532264 15575160148 17566380272 18961064528 27256530259 31150320296 54513060518 62300640592 89557170851 109026121036 179114341702 218052242072 358228683404 436104484144 626900195957 716457366808 1253800391914 1432914733616 2507600783828 5015201567656 10030403135312