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1030121202312 = 2332372811376093
BaseRepresentation
bin11101111110110000000…
…00100010001010001000
310122110220220210001011200
432333120000202022020
5113334142011433222
62105121532224200
7134265235514256
oct16773000421210
93573826701150
101030121202312
11367965622024
1214778960b060
13761a87b8b87
1437c02a015d6
151bbe0d31eac
hexefd8022288

1030121202312 has 96 divisors (see below), whose sum is σ = 2875513544280. Its totient is φ = 332904176640.

The previous prime is 1030121202289. The next prime is 1030121202329. The reversal of 1030121202312 is 2132021210301.

1030121202312 is a `hidden beast` number, since 1 + 0 + 30 + 121 + 202 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 941416110756 + 88705091556 = 970266^2 + 297834^2 .

It is a super-2 number, since 2×10301212023122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 60538 + ... + 1436630.

Almost surely, 21030121202312 is an apocalyptic number.

1030121202312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030121202312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437756772140).

1030121202312 is an abundant number, since it is smaller than the sum of its proper divisors (1845392341968).

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

1030121202312 is a wasteful number, since it uses less digits than its factorization.

1030121202312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376423 (or 1376416 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1030121202312 its reverse (2132021210301), we get a palindrome (3162142412613).

The spelling of 1030121202312 in words is "one trillion, thirty billion, one hundred twenty-one million, two hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 281 296 333 444 562 666 843 888 1124 1332 1686 2248 2529 2664 3372 5058 6744 10116 10397 20232 20794 31191 41588 62382 83176 93573 124764 187146 249528 374292 748584 1376093 2752186 4128279 5504372 8256558 11008744 12384837 16513116 24769674 33026232 49539348 50915441 99078696 101830882 152746323 203661764 305492646 386682133 407323528 458238969 610985292 773364266 916477938 1160046399 1221970584 1546728532 1832955876 2320092798 3093457064 3480139197 3665911752 4640185596 6960278394 9280371192 13920556788 14307238921 27841113576 28614477842 42921716763 57228955684 85843433526 114457911368 128765150289 171686867052 257530300578 343373734104 515060601156 1030121202312