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102023212202010 = 232511234480597813
BaseRepresentation
bin10111001100101000100001…
…010100100111100000011010
3111101020022202002000102021100
4113030220201110213200122
5101333022014310431020
61000552452221452230
730326635210124541
oct2714504124474032
9441208662012240
10102023212202010
112a56488a603990
12b538947411076
1344c0994706698
141b29d4242b158
15bbdcd0526a90
hex5cca2152781a

102023212202010 has 96 divisors (see below), whose sum is σ = 301956447881088. Its totient is φ = 23657556447360.

The previous prime is 102023212201993. The next prime is 102023212202011. The reversal of 102023212202010 is 10202212320201.

102023212202010 is a `hidden beast` number, since 10 + 2 + 0 + 232 + 1 + 220 + 201 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102023212202011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2240276137 + ... + 2240321676.

It is an arithmetic number, because the mean of its divisors is an integer number (3145379665428).

Almost surely, 2102023212202010 is an apocalyptic number.

102023212202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102023212202010 is an abundant number, since it is smaller than the sum of its proper divisors (199933235679078).

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

102023212202010 is a wasteful number, since it uses less digits than its factorization.

102023212202010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4480597860 (or 4480597857 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102023212202010 its reverse (10202212320201), we get a palindrome (112225424522211).

The spelling of 102023212202010 in words is "one hundred two trillion, twenty-three billion, two hundred twelve million, two hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1518 2070 2277 2530 3795 4554 7590 11385 22770 4480597813 8961195626 13441793439 22402989065 26883586878 40325380317 44805978130 49286575943 67208967195 80650760634 98573151886 103053749699 134417934390 147859727829 201626901585 206107499398 246432879715 295719455658 309161249097 403253803170 443579183487 492865759430 515268748495 618322498194 739298639145 887158366974 927483747291 1030537496990 1133591246689 1478597278290 1545806245485 1854967494582 2217895917435 2267182493378 3091612490970 3400773740067 4435791834870 4637418736455 5667956233445 6801547480134 9274837472910 10202321220201 11335912466890 17003868700335 20404642440402 34007737400670 51011606101005 102023212202010