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1010230312 = 2371329109439
BaseRepresentation
bin111100001101101…
…110010000101000
32121101221000110111
4330031232100220
54032104332222
6244124424104
734014546610
oct7415562050
92541830414
101010230312
11479280a93
122423a8034
131313ac820
1498251a40
155da52777
hex3c36e428

1010230312 has 128 divisors (see below), whose sum is σ = 2439360000. Its totient is φ = 381459456.

The previous prime is 1010230301. The next prime is 1010230313. The reversal of 1010230312 is 2130320101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1010230292 and 1010230301.

It is not an unprimeable number, because it can be changed into a prime (1010230313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2300989 + ... + 2301427.

It is an arithmetic number, because the mean of its divisors is an integer number (19057500).

Almost surely, 21010230312 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 1010230312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219680000).

1010230312 is an abundant number, since it is smaller than the sum of its proper divisors (1429129688).

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

1010230312 is a wasteful number, since it uses less digits than its factorization.

1010230312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1010230312 is about 31784.1204377280. The cubic root of 1010230312 is about 1003.3985408357.

Adding to 1010230312 its reverse (2130320101), we get a palindrome (3140550413).

The spelling of 1010230312 in words is "one billion, ten million, two hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 104 109 116 182 203 218 232 364 377 406 436 439 728 754 763 812 872 878 1417 1508 1526 1624 1756 2639 2834 3016 3052 3073 3161 3512 5278 5668 5707 6104 6146 6322 9919 10556 11336 11414 12292 12644 12731 19838 21112 22127 22828 24584 25288 25462 39676 39949 41093 44254 45656 47851 50924 79352 79898 82186 88508 89117 95702 101848 159796 164372 165503 177016 178234 191404 287651 319592 328744 331006 334957 356468 382808 575302 622063 662012 669914 712936 1150604 1158521 1244126 1324024 1339828 1387679 2301208 2317042 2488252 2679656 2775358 4354441 4634084 4976504 5550716 8708882 9268168 9713753 11101432 17417764 18039827 19427506 34835528 36079654 38855012 72159308 77710024 126278789 144318616 252557578 505115156 1010230312