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1261369098 = 234112229281
BaseRepresentation
bin100101100101110…
…1111011100001010
310020220111012010000
41023023233130022
510040402302343
6325055303430
743154313633
oct11313573412
93226435100
101261369098
11598012300
122b251ab76
13171430662
14bd74688a
1575b0ded3
hex4b2ef70a

1261369098 has 120 divisors (see below), whose sum is σ = 3131375940. Its totient is φ = 379209600.

The previous prime is 1261369097. The next prime is 1261369099. The reversal of 1261369098 is 8909631621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1261369097) and next prime (1261369099).

It can be written as a sum of positive squares in 2 ways, for example, as 1113089769 + 148279329 = 33363^2 + 12177^2 .

It is not an unprimeable number, because it can be changed into a prime (1261369097) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 4488718 + ... + 4488998.

Almost surely, 21261369098 is an apocalyptic number.

1261369098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1261369098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565687970).

1261369098 is an abundant number, since it is smaller than the sum of its proper divisors (1870006842).

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

1261369098 is a wasteful number, since it uses less digits than its factorization.

1261369098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1261369098 is about 35515.7584460757. The cubic root of 1261369098 is about 1080.4733573149.

The spelling of 1261369098 in words is "one billion, two hundred sixty-one million, three hundred sixty-nine thousand, ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 229 242 281 297 363 458 562 594 687 726 843 891 1089 1374 1686 1782 2061 2178 2519 2529 3091 3267 4122 5038 5058 6182 6183 6534 7557 7587 9273 9801 12366 15114 15174 18546 18549 19602 22671 22761 27709 27819 34001 37098 45342 45522 55418 55638 64349 68002 68013 83127 83457 102003 128698 136026 166254 166914 193047 204006 204039 249381 250371 306009 386094 408078 498762 500742 579141 612018 707839 748143 918027 1158282 1415678 1496286 1737423 1836054 2123517 2244429 2754081 3474846 4247034 4488858 5212269 5508162 6370551 7786229 10424538 12741102 15572458 19111653 23358687 38223306 46717374 57334959 70076061 114669918 140152122 210228183 420456366 630684549 1261369098