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1310214222030 = 235737493334183
BaseRepresentation
bin10011000100001110110…
…110100111000011001110
311122020220002012200201210
4103010032312213003032
5132431304320101110
62441523141515250
7163442221063350
oct23041666470316
94566802180653
101310214222030
114657278533aa
12191b18112b26
13967252ab3bc
14475b3d530d0
15241359eb520
hex1310eda70ce

1310214222030 has 128 divisors (see below), whose sum is σ = 3691714480128. Its totient is φ = 291315958272.

The previous prime is 1310214222019. The next prime is 1310214222047. The reversal of 1310214222030 is 302224120131.

It is a super-2 number, since 2×13102142220302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1310214221988 and 1310214222006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38312319 + ... + 38346501.

It is an arithmetic number, because the mean of its divisors is an integer number (28841519376).

Almost surely, 21310214222030 is an apocalyptic number.

1310214222030 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 1310214222030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845857240064).

1310214222030 is an abundant number, since it is smaller than the sum of its proper divisors (2381500258098).

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

1310214222030 is a wasteful number, since it uses less digits than its factorization.

1310214222030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39170.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1310214222030 its reverse (302224120131), we get a palindrome (1612438342161).

The spelling of 1310214222030 in words is "one trillion, three hundred ten billion, two hundred fourteen million, two hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1110 1295 1554 2590 3885 4933 7770 9866 14799 24665 29598 34183 34531 49330 68366 69062 73995 102549 103593 147990 170915 172655 182521 205098 207186 239281 341830 345310 365042 478562 512745 517965 547563 717843 912605 1025490 1035930 1095126 1196405 1264771 1277647 1435686 1825210 2392810 2529542 2555294 2737815 3589215 3794313 3832941 5475630 6323855 6388235 7178430 7588626 7665882 8853397 12647710 12776470 17706794 18971565 19164705 26560191 37943130 38329410 44266985 53120382 88533970 132800955 168624739 265601910 337249478 505874217 843123695 1011748434 1180373173 1686247390 2360746346 2529371085 3541119519 5058742170 5901865865 6239115343 7082239038 11803731730 12478230686 17705597595 18717346029 31195576715 35411195190 37434692058 43673807401 62391153430 87347614802 93586730145 131021422203 187173460290 218369037005 262042844406 436738074010 655107111015 1310214222030