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103313021011032 = 23378317483423791
BaseRepresentation
bin10111011111011001101111…
…111010110000010001011000
3111112210121222001211201122210
4113133121233322300101120
5102020140031334323112
61003421202512515120
730522055654116210
oct2737315772602130
9445717861751583
10103313021011032
112aa11895aa5498
12b70690984baa0
1345854b7321ab1
141b7253c2c5240
15be261e8c4b3c
hex5df66feb0458

103313021011032 has 128 divisors (see below), whose sum is σ = 298754238504960. Its totient is φ = 29160630526080.

The previous prime is 103313021011021. The next prime is 103313021011073. The reversal of 103313021011032 is 230110120313301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243571057 + ... + 243994847.

It is an arithmetic number, because the mean of its divisors is an integer number (2334017488320).

Almost surely, 2103313021011032 is an apocalyptic number.

103313021011032 is a gapful number since it is divisible by the number (12) 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 103313021011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149377119252480).

103313021011032 is an abundant number, since it is smaller than the sum of its proper divisors (195441217493928).

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

103313021011032 is a wasteful number, since it uses less digits than its factorization.

103313021011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441373 (or 441369 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 103313021011032 its reverse (230110120313301), we get a palindrome (333423141324333).

The spelling of 103313021011032 in words is "one hundred three trillion, three hundred thirteen billion, twenty-one million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 996 1162 1743 1992 2324 3486 4648 6972 13944 17483 34966 52449 69932 104898 122381 139864 209796 244762 367143 419592 423791 489524 734286 847582 979048 1271373 1451089 1468572 1695164 2542746 2902178 2937144 2966537 3390328 4353267 5085492 5804356 5933074 8706534 8899611 10157623 10170984 11608712 11866148 17413068 17799222 20315246 23732296 30472869 34826136 35174653 35598444 40630492 60945738 70349306 71196888 81260984 105523959 121891476 140698612 211047918 243782952 246222571 281397224 422095836 492445142 738667713 844191672 984890284 1477335426 1969780568 2954670852 5909341704 7409138053 14818276106 22227414159 29636552212 44454828318 51863966371 59273104424 88909656636 103727932742 155591899113 177819313272 207455865484 311183798226 414911730968 614958458399 622367596452 1229916916798 1244735192904 1844875375197 2459833833596 3689750750394 4304709208793 4919667667192 7379501500788 8609418417586 12914127626379 14759003001576 17218836835172 25828255252758 34437673670344 51656510505516 103313021011032