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1321410402 = 2331331411481
BaseRepresentation
bin100111011000011…
…0001111101100010
310102002110121022000
41032300301331202
510201240113102
6335042224430
744513542314
oct11660617542
93362417260
101321410402
116189a1214
1230a655116
131809c3360
14c76d57b4
157b01e01c
hex4ec31f62

1321410402 has 128 divisors (see below), whose sum is σ = 3346237440. Its totient is φ = 383616000.

The previous prime is 1321410401. The next prime is 1321410403. The reversal of 1321410402 is 2040141231.

It is an interprime number because it is at equal distance from previous prime (1321410401) and next prime (1321410403).

It is a super-2 number, since 2×13214104022 = 3492250901027603208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1321410401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 891502 + ... + 892982.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 21321410402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321410402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673118720).

1321410402 is an abundant number, since it is smaller than the sum of its proper divisors (2024827038).

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

1321410402 is a wasteful number, since it uses less digits than its factorization.

1321410402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1321410402 is about 36351.2090858062. The cubic root of 1321410402 is about 1097.3518674852.

Adding to 1321410402 its reverse (2040141231), we get a palindrome (3361551633).

The spelling of 1321410402 in words is "one billion, three hundred twenty-one million, four hundred ten thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 41 54 62 78 82 93 117 123 186 234 246 279 351 369 403 533 558 702 738 806 837 1066 1107 1209 1271 1481 1599 1674 2214 2418 2542 2962 3198 3627 3813 4443 4797 7254 7626 8886 9594 10881 11439 13329 14391 16523 19253 21762 22878 26658 28782 33046 34317 38506 39987 45911 49569 57759 60721 68634 79974 91822 99138 115518 121442 137733 148707 173277 182163 275466 297414 346554 364326 413199 446121 519831 546489 596843 789373 826398 892242 1039662 1092978 1193686 1239597 1578746 1639467 1790529 1882351 2368119 2479194 3278934 3581058 3764702 4736238 5371587 5647053 7104357 10743174 11294106 14208714 16114761 16941159 21313071 24470563 32229522 33882318 42626142 48941126 50823477 73411689 101646954 146823378 220235067 440470134 660705201 1321410402