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101213403141040 = 2456612805768219
BaseRepresentation
bin10111000000110110010100…
…111100001101001110110000
3111021100220111002101202021021
4113000312110330031032300
5101231240022201003130
6555132443455105224
730214266324516241
oct2700662474151660
9437326432352237
10101213403141040
112a2823aa499533
12b427a03b12214
1344624c94a3828
141adca7d446cc8
15ba7bd5ee137a
hex5c0d94f0d3b0

101213403141040 has 80 divisors (see below), whose sum is σ = 235689024892320. Its totient is φ = 40422079272960.

The previous prime is 101213403140933. The next prime is 101213403141073. The reversal of 101213403141040 is 40141304312101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 101213403140996 and 101213403141014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1483620051 + ... + 1483688269.

It is an arithmetic number, because the mean of its divisors is an integer number (2946112811154).

Almost surely, 2101213403141040 is an apocalyptic number.

101213403141040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101213403141040 is an abundant number, since it is smaller than the sum of its proper divisors (134475621751280).

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

101213403141040 is a wasteful number, since it uses less digits than its factorization.

101213403141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96950 (or 96944 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 101213403141040 its reverse (40141304312101), we get a palindrome (141354707453141).

The spelling of 101213403141040 in words is "one hundred one trillion, two hundred thirteen billion, four hundred three million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 661 1322 2644 3305 5288 6610 10576 13220 26440 28057 52880 56114 68219 112228 136438 140285 224456 272876 280570 341095 448912 545752 561140 682190 1091504 1122280 1364380 2244560 2728760 5457520 18545677 37091354 45092759 74182708 90185518 92728385 148365416 180371036 185456770 225463795 296730832 360742072 370913540 450927590 721484144 741827080 901855180 1483654160 1803710360 1914020483 3607420720 3828040966 7656081932 9570102415 15312163864 19140204830 30624327728 38280409660 76560819320 153121638640 1265167539263 2530335078526 5060670157052 6325837696315 10121340314104 12651675392630 20242680628208 25303350785260 50606701570520 101213403141040