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310011000012 = 2232737179185747
BaseRepresentation
bin1001000001011100001…
…10000111010011001100
31002122012012101112001100
410200232012013103030
520034400304000022
6354230031343100
731253235010320
oct4405606072314
91078165345040
10310011000012
1110a52514482a
12500ba081a90
1323306b9ab5c
141100c929980
1580e64e11ac
hex482e1874cc

310011000012 has 144 divisors (see below), whose sum is σ = 924935880960. Its totient is φ = 85698746496.

The previous prime is 310010999983. The next prime is 310011000053. The reversal of 310011000012 is 210000110013.

It is a super-2 number, since 2×3100110000122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 310010999958 and 310011000003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1576123 + ... + 1761869.

It is an arithmetic number, because the mean of its divisors is an integer number (6423165840).

Almost surely, 2310011000012 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 310011000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462467940480).

310011000012 is an abundant number, since it is smaller than the sum of its proper divisors (614924880948).

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

310011000012 is a wasteful number, since it uses less digits than its factorization.

310011000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185980 (or 185975 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 310011000012 its reverse (210000110013), we get a palindrome (520011110025).

The spelling of 310011000012 in words is "three hundred ten billion, eleven million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 179 222 252 259 333 358 444 518 537 666 716 777 1036 1074 1253 1332 1554 1611 2148 2331 2506 3108 3222 3759 4662 5012 6444 6623 7518 9324 11277 13246 15036 19869 22554 26492 39738 45108 46361 59607 79476 92722 119214 139083 185444 185747 238428 278166 371494 417249 556332 557241 742988 834498 1114482 1300229 1668996 1671723 2228964 2600458 3343446 3900687 5200916 6686892 6872639 7801374 11702061 13745278 15602748 20617917 23404122 27490556 33248713 41235834 46808244 48108473 61853751 66497426 82471668 96216946 99746139 123707502 132994852 144325419 192433892 199492278 232740991 247415004 288650838 299238417 398984556 432976257 465481982 577301676 598476834 698222973 865952514 930963964 1196953668 1230202381 1396445946 1731905028 2094668919 2460404762 2792891892 3690607143 4189337838 4920809524 7381214286 8378675676 8611416667 11071821429 14762428572 17222833334 22143642858 25834250001 34445666668 44287285716 51668500002 77502750003 103337000004 155005500006 310011000012