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210003413312 = 26711215319793
BaseRepresentation
bin1100001110010100101…
…1011100100101000000
3202002001111110201210202
43003211023130211000
511420041333211222
6240250233544332
721113036363210
oct3034513344500
9662044421722
10210003413312
11810754a7730
12348498750a8
1316a59933154
14a242892240
1556e17a8892
hex30e52dc940

210003413312 has 112 divisors (see below), whose sum is σ = 519821476992. Its totient is φ = 81777377280.

The previous prime is 210003413293. The next prime is 210003413329. The reversal of 210003413312 is 213314300012.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10600088 + ... + 10619880.

Almost surely, 2210003413312 is an apocalyptic number.

210003413312 is a gapful number since it is divisible by the number (22) 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 210003413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259910738496).

210003413312 is an abundant number, since it is smaller than the sum of its proper divisors (309818063680).

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

210003413312 is a wasteful number, since it uses less digits than its factorization.

210003413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21976 (or 21966 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 210003413312 its reverse (213314300012), we get a palindrome (423317713324).

The spelling of 210003413312 in words is "two hundred ten billion, three million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2153 2464 4306 4928 8612 15071 17224 19793 23683 30142 34448 39586 47366 60284 68896 79172 94732 120568 137792 138551 158344 165781 189464 217723 241136 277102 316688 331562 378928 435446 482272 554204 633376 663124 757856 870892 964544 1108408 1266752 1326248 1515712 1524061 1741784 2216816 2652496 3048122 3483568 4433632 5304992 6096244 6967136 8867264 10609984 12192488 13934272 24384976 42614329 48769952 85228658 97539904 170457316 298300303 340914632 468757619 596600606 681829264 937515238 1193201212 1363658528 1875030476 2386402424 2727317056 3281303333 3750060952 4772804848 6562606666 7500121904 9545609696 13125213332 15000243808 19091219392 26250426664 30000487616 52500853328 105001706656 210003413312