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102210022211020 = 22571161221446461
BaseRepresentation
bin10111001111010110100000…
…000100001111110111001100
3111101220011221012000010122221
4113033112200010033313030
5101344102111141223040
61001214345212345124
730346300430034403
oct2717264004176714
9441804835003587
10102210022211020
112a627032a23689
12b568ba17751a4
134505496192559
141b34dc484863a
15bc3ab5a1a74a
hex5cf5a010fdcc

102210022211020 has 48 divisors (see below), whose sum is σ = 217665997609536. Its totient is φ = 40307837472000.

The previous prime is 102210022210999. The next prime is 102210022211021. The reversal of 102210022211020 is 20112220012201.

It is a happy number.

It is a super-3 number, since 3×1022100222110203 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102210022210985 and 102210022211003.

It is not an unprimeable number, because it can be changed into a prime (102210022211021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228710590 + ... + 229157050.

It is an arithmetic number, because the mean of its divisors is an integer number (4534708283532).

Almost surely, 2102210022211020 is an apocalyptic number.

102210022211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210022211020 is an abundant number, since it is smaller than the sum of its proper divisors (115455975398516).

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

102210022211020 is a wasteful number, since it uses less digits than its factorization.

102210022211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607762 (or 607760 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102210022211020 its reverse (20112220012201), we get a palindrome (122322242223221).

The spelling of 102210022211020 in words is "one hundred two trillion, two hundred ten billion, twenty-two million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 161221 322442 446461 644884 806105 892922 1612210 1785844 2232305 3224420 4464610 8929220 11446691 22893382 31698731 45786764 57233455 63397462 114466910 126794924 158493655 228933820 316987310 633974620 71978888881 143957777762 287915555524 359894444405 719788888810 1439577777620 5110501110551 10221002221102 20442004442204 25552505552755 51105011105510 102210022211020