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103021003322112 = 283476614317827
BaseRepresentation
bin10111011011001001110010…
…010011101011001100000000
3111111202201012212001010011210
4113123021302103223030000
5102000344003322301422
61003035110124210120
730462010333531521
oct2733116223531400
9444681185033153
10103021003322112
112a909a646946a7
12b67a1b1699940
134563aba181aa5
141b62359364848
15bd9c2cdba10c
hex5db2724eb300

103021003322112 has 144 divisors (see below), whose sum is σ = 280443550367232. Its totient is φ = 33558834524160.

The previous prime is 103021003322071. The next prime is 103021003322113. The reversal of 103021003322112 is 211223300120301.

It is a super-2 number, since 2×1030210033221122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103021003322113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21700543 + ... + 26018369.

It is an arithmetic number, because the mean of its divisors is an integer number (1947524655328).

Almost surely, 2103021003322112 is an apocalyptic number.

103021003322112 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 103021003322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140221775183616).

103021003322112 is an abundant number, since it is smaller than the sum of its proper divisors (177422547045120).

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

103021003322112 is an equidigital number, since it uses as much as digits as its factorization.

103021003322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318554 (or 4318540 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 103021003322112 its reverse (211223300120301), we get a palindrome (314244303442413).

The spelling of 103021003322112 in words is "one hundred three trillion, twenty-one billion, three million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 661 752 768 1128 1322 1504 1983 2256 2644 3008 3966 4512 5288 6016 7932 9024 10576 12032 15864 18048 21152 31067 31728 36096 42304 62134 63456 84608 93201 124268 126912 169216 186402 248536 253824 372804 497072 507648 745608 994144 1491216 1988288 2982432 3976576 4317827 5964864 7953152 8635654 11929728 12953481 17271308 23859456 25906962 34542616 51813924 69085232 103627848 138170464 202937869 207255696 276340928 405875738 414511392 552681856 608813607 811751476 829022784 1105363712 1217627214 1623502952 1658045568 2435254428 2854083647 3247005904 3316091136 4870508856 5708167294 6494011808 8562250941 9741017712 11416334588 12988023616 17124501882 19482035424 22832669176 25976047232 34249003764 38964070848 45665338352 51952094464 68498007528 77928141696 91330676704 134141931409 136996015056 155856283392 182661353408 268283862818 273992030112 365322706816 402425794227 536567725636 547984060224 730645413632 804851588454 1073135451272 1095968120448 1609703176908 2146270902544 2191936240896 3219406353816 4292541805088 6438812707632 8585083610176 12877625415264 17170167220352 25755250830528 34340334440704 51510501661056 103021003322112