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310631000428 = 2272371091572503
BaseRepresentation
bin1001000010100110000…
…11001110100101101100
31002200210102000210201201
410201103003032211230
520042133014003203
6354411340215244
731304503636600
oct4412303164554
91080712023651
10310631000428
1110a813113271
125025183a524
13233a547a0c8
141106addb500
158130b5ee1d
hex48530ce96c

310631000428 has 144 divisors (see below), whose sum is σ = 659842962240. Its totient is φ = 127472776704.

The previous prime is 310631000411. The next prime is 310631000489. The reversal of 310631000428 is 824000136013.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 310631000396 and 310631000405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124102225 + ... + 124104727.

Almost surely, 2310631000428 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 310631000428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329921481120).

310631000428 is an abundant number, since it is smaller than the sum of its proper divisors (349211961812).

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

310631000428 is a wasteful number, since it uses less digits than its factorization.

310631000428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 310631000428 in words is "three hundred ten billion, six hundred thirty-one million, four hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 37 49 74 98 109 148 157 196 218 259 314 436 518 628 763 1036 1099 1526 1813 2198 2503 3052 3626 4033 4396 5006 5341 5809 7252 7693 8066 10012 10682 11618 15386 16132 17113 17521 21364 23236 28231 30772 34226 35042 40663 56462 68452 70084 81326 92611 112924 119791 122647 162652 185222 197617 239582 245294 272827 284641 370444 392971 395234 479164 490588 545654 569282 633181 648277 785942 790468 838537 1091308 1138564 1266362 1296554 1571884 1677074 1909789 2532724 2593108 2750797 3354148 3819578 4432267 4537939 5501594 7639156 8864534 9075878 10094599 11003188 13368523 14539927 17729068 18151756 19255579 20189198 26737046 29079854 31025869 38511158 40378396 42833839 53474092 58159708 62051738 70662193 77022316 85667678 101779489 124103476 141324386 171335356 203558978 282648772 299836873 407117956 494635351 599673746 712456423 989270702 1199347492 1424912846 1584852043 1978541404 2098858111 2849825692 3169704086 4197716222 6339408172 8395432444 11093964301 22187928602 44375857204 77657750107 155315500214 310631000428