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10202202001101 = 3114771101917281
BaseRepresentation
bin1001010001110110001010…
…1000000100111011001101
31100010022122222222011222010
42110131202220010323031
52314123102203013401
633410454335411433
72102041035113505
oct224354250047315
940108588864863
1010202202001101
113283803071240
121189308983b79
135900a9729b16
14273b0984ca05
1512a5b187bed6
hex94762a04ecd

10202202001101 has 64 divisors (see below), whose sum is σ = 15520939794432. Its totient is φ = 5907283200000.

The previous prime is 10202202001073. The next prime is 10202202001111. The reversal of 10202202001101 is 10110020220201.

It is a de Polignac number, because none of the positive numbers 2k-10202202001101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202202001111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10663581 + ... + 11580861.

It is an arithmetic number, because the mean of its divisors is an integer number (242514684288).

Almost surely, 210202202001101 is an apocalyptic number.

10202202001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10202202001101 is a deficient number, since it is larger than the sum of its proper divisors (5318737793331).

10202202001101 is a wasteful number, since it uses less digits than its factorization.

10202202001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917514.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10202202001101 its reverse (10110020220201), we get a palindrome (20312222221302).

The spelling of 10202202001101 in words is "ten trillion, two hundred two billion, two hundred two million, one thousand, one hundred one".

Divisors: 1 3 11 33 47 71 101 141 213 303 517 781 1111 1551 2343 3333 3337 4747 7171 10011 14241 21513 36707 52217 78881 110121 156651 236643 337037 917281 1011111 2751843 3707407 10090091 11122221 30270273 43112207 65126951 92645381 129336621 195380853 277936143 474234277 716396461 1019099191 1422702831 2149189383 3057297573 3060966697 4354332907 6577822051 9182900091 13062998721 19733466153 33670633667 47897661977 72356042561 101011901001 143692985931 217068127683 309157636397 927472909191 3400734000367 10202202001101