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100273485340 = 225721915734301
BaseRepresentation
bin101110101100011000…
…0111111011000011100
3100120211020020211121101
41131120300333120130
53120330003012330
6114022012442444
710146604363600
oct1353060773034
9316736224541
10100273485340
113958684a746
1217525479424
1395c0385aa2
144bd34d1500
15291d25c4ca
hex1758c3f61c

100273485340 has 144 divisors (see below), whose sum is σ = 259496002080. Its totient is φ = 32361638400.

The previous prime is 100273485337. The next prime is 100273485353. The reversal of 100273485340 is 43584372001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100273485340.

It is a congruent number.

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, 2906190 + ... + 2940490.

It is an arithmetic number, because the mean of its divisors is an integer number (1802055570).

Almost surely, 2100273485340 is an apocalyptic number.

100273485340 is a gapful number since it is divisible by the number (10) 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 100273485340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129748001040).

100273485340 is an abundant number, since it is smaller than the sum of its proper divisors (159222516740).

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

100273485340 is a wasteful number, since it uses less digits than its factorization.

100273485340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34500 (or 34491 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 100273485340 in words is "one hundred billion, two hundred seventy-three million, four hundred eighty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 157 190 196 245 266 314 380 490 532 628 665 785 931 980 1099 1330 1570 1862 2198 2660 2983 3140 3724 4396 4655 5495 5966 7693 9310 10990 11932 14915 15386 18620 20881 21980 29830 30772 34301 38465 41762 59660 68602 76930 83524 104405 137204 146167 153860 171505 208810 240107 292334 343010 417620 480214 584668 651719 686020 730835 960428 1200535 1303438 1461670 1680749 2401070 2606876 2923340 3258595 3361498 4562033 4802140 5385257 6517190 6722996 8403745 9124066 10770514 13034380 16807490 18248132 21541028 22810165 26926285 31934231 33614980 37696799 45620330 53852570 63868462 75393598 91240660 102319883 107705140 127736924 150787196 159671155 188483995 204639766 263877593 319342310 376967990 409279532 511599415 527755186 638684620 716239181 753935980 1023198830 1055510372 1319387965 1432478362 2046397660 2638775930 2864956724 3581195905 5013674267 5277551860 7162391810 10027348534 14324783620 20054697068 25068371335 50136742670 100273485340