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2210201100972 = 2233294316411247
BaseRepresentation
bin100000001010011010010…
…000000110001010101100
321211021220201022011021000
4200022122100012022230
5242202442440212342
64411204040040300
7315452562245154
oct40123220061254
97737821264230
102210201100972
117823829a1147
122b8427a63090
13130562122167
1478d8d6c1764
153c75bcd544c
hex2029a4062ac

2210201100972 has 96 divisors (see below), whose sum is σ = 6065597260800. Its totient is φ = 694786510656.

The previous prime is 2210201100971. The next prime is 2210201101039. The reversal of 2210201100972 is 2790011020122.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2210201100971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8070948 + ... + 8340299.

It is an arithmetic number, because the mean of its divisors is an integer number (63183304800).

Almost surely, 22210201100972 is an apocalyptic number.

It is an amenable number.

2210201100972 is an abundant number, since it is smaller than the sum of its proper divisors (3855396159828).

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

2210201100972 is a wasteful number, since it uses less digits than its factorization.

2210201100972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16411332 (or 16411324 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 2210201100972 in words is "two trillion, two hundred ten billion, two hundred one million, one hundred thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 43 54 58 86 87 108 116 129 172 174 258 261 348 387 516 522 774 783 1044 1161 1247 1548 1566 2322 2494 3132 3741 4644 4988 7482 11223 14964 22446 33669 44892 67338 134676 16411247 32822494 49233741 65644988 98467482 147701223 196934964 295402446 443103669 475926163 590804892 705683621 886207338 951852326 1411367242 1427778489 1772414676 1903704652 2117050863 2822734484 2855556978 4234101726 4283335467 5711113956 6351152589 8468203452 8566670934 12702305178 12850006401 17133341868 19053457767 20464825009 25404610356 25700012802 38106915534 40929650018 51400025604 61394475027 76213831068 81859300036 122788950054 184183425081 245577900108 368366850162 552550275243 736733700324 1105100550486 2210201100972