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1031020212032 = 26374759157013
BaseRepresentation
bin11110000000011011001…
…01111110111101000000
310122120020120102110122222
433000031211332331000
5113343012133241112
62105351045150212
7134326433126666
oct17001545767500
93576216373588
101031020212032
11368287038368
1214799a6bb368
13762bcb268a5
1437c8a180c36
151bc44c15372
hexf00d97ef40

1031020212032 has 112 divisors (see below), whose sum is σ = 2182318744320. Its totient is φ = 482582034432.

The previous prime is 1031020211993. The next prime is 1031020212037. The reversal of 1031020212032 is 2302120201301.

1031020212032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1031020212032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031020212037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6487958 + ... + 6644970.

Almost surely, 21031020212032 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 1031020212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091159372160).

1031020212032 is an abundant number, since it is smaller than the sum of its proper divisors (1151298532288).

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

1031020212032 is a wasteful number, since it uses less digits than its factorization.

1031020212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157168 (or 157158 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1031020212032 its reverse (2302120201301), we get a palindrome (3333140413333).

The spelling of 1031020212032 in words is "one trillion, thirty-one billion, twenty million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 47 59 64 74 94 118 148 188 236 296 376 472 592 752 944 1184 1504 1739 1888 2183 2368 2773 3008 3478 3776 4366 5546 6956 8732 11092 13912 17464 22184 27824 34928 44368 55648 69856 88736 102601 111296 139712 157013 177472 205202 314026 410404 628052 820808 1256104 1641616 2512208 3283232 5024416 5809481 6566464 7379611 9263767 10048832 11618962 14759222 18527534 23237924 29518444 37055068 46475848 59036888 74110136 92951696 118073776 148220272 185903392 236147552 273045607 296440544 342759379 371806784 435397049 472295104 546091214 592881088 685518758 870794098 1092182428 1371037516 1741588196 2184364856 2742075032 3483176392 4368729712 5484150064 6966352784 8737459424 10968300128 13932705568 16109690813 17474918848 21936600256 27865411136 32219381626 64438763252 128877526504 257755053008 515510106016 1031020212032