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131030222332100 = 2252713128311222857
BaseRepresentation
bin11101110010101111011001…
…110110110110000011000100
3122011221100220111002020221012
4131302233121312312003010
5114133244343404111400
61142402241513541352
736412423026065060
oct3562573166660304
9564840814066835
10131030222332100
1138828672612593
1212842650414858
135816134cbbb70
14244dc7a3a6aa0
1510235e4204d35
hex772bd9db60c4

131030222332100 has 144 divisors (see below), whose sum is σ = 350224277628288. Its totient is φ = 41436580008960.

The previous prime is 131030222332057. The next prime is 131030222332109. The reversal of 131030222332100 is 1233222030131.

It is not an unprimeable number, because it can be changed into a prime (131030222332109) 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, 6063872 + ... + 17286728.

Almost surely, 2131030222332100 is an apocalyptic number.

131030222332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131030222332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175112138814144).

131030222332100 is an abundant number, since it is smaller than the sum of its proper divisors (219194055296188).

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

131030222332100 is a wasteful number, since it uses less digits than its factorization.

131030222332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11224174 (or 11224167 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 131030222332100 its reverse (1233222030131), we get a palindrome (132263444362231).

The spelling of 131030222332100 in words is "one hundred thirty-one trillion, thirty billion, two hundred twenty-two million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1283 1300 1820 2275 2566 4550 5132 6415 8981 9100 12830 16679 17962 25660 32075 33358 35924 44905 64150 66716 83395 89810 116753 128300 166790 179620 224525 233506 333580 416975 449050 467012 583765 833950 898100 1167530 1667900 2335060 2918825 5837650 11222857 11675300 22445714 44891428 56114285 78559999 112228570 145897141 157119998 224457140 280571425 291794282 314239996 392799995 561142850 583588564 729485705 785599990 1021279987 1122285700 1458971410 1571199980 1963999975 2042559974 2917942820 3647428525 3927999950 4085119948 5106399935 7294857050 7855999900 10212799870 14398925531 14589714100 20425599740 25531999675 28797851062 51063999350 57595702124 71994627655 100792478717 102127998700 143989255310 187186031903 201584957434 287978510620 359973138275 374372063806 403169914868 503962393585 719946276550 748744127612 935930159515 1007924787170 1310302223321 1439892553100 1871860319030 2015849574340 2519811967925 2620604446642 3743720638060 4679650797575 5039623935850 5241208893284 6551511116605 9359301595150 10079247871700 13103022233210 18718603190300 26206044466420 32757555583025 65515111166050 131030222332100